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13133023212231 = 321336726771231
BaseRepresentation
bin1011111100011100010100…
…1011101111001011000111
31201111111121222010212102200
42333013011023233023013
53210132412420242411
643533121053405543
72523554362266516
oct277070513571307
951444558125380
1013133023212231
114203758253a2a
121581326a998b3
13743591cb0a10
143358dac1a67d
1517b947b26e56
hexbf1c52ef2c7

13133023212231 has 72 divisors (see below), whose sum is σ = 20531888080704. Its totient is φ = 8041396072320.

The previous prime is 13133023212203. The next prime is 13133023212251. The reversal of 13133023212231 is 13221232033131.

13133023212231 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 302 + 321 + 2 + 2 + 31 = 666.

It is not a de Polignac number, because 13133023212231 - 219 = 13133022687943 is a prime.

It is a super-2 number, since 2×131330232122312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13133023212195 and 13133023212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133023212251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10668580386 + ... + 10668581616.

It is an arithmetic number, because the mean of its divisors is an integer number (285165112232).

Almost surely, 213133023212231 is an apocalyptic number.

13133023212231 is a deficient number, since it is larger than the sum of its proper divisors (7398864868473).

13133023212231 is a wasteful number, since it uses less digits than its factorization.

13133023212231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13133023212231 its reverse (13221232033131), we get a palindrome (26354255245362).

The spelling of 13133023212231 in words is "thirteen trillion, one hundred thirty-three billion, twenty-three million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 367 677 1101 1231 2031 3303 3693 4771 6093 8801 11079 14313 16003 26403 42939 48009 79209 134689 144027 248459 404067 451777 745377 833387 1212201 1355331 1750957 2236131 2500161 3229967 4065993 5252871 5873101 7500483 9689901 10834031 15758613 17619303 29069703 32502093 52857909 91184453 97506279 165802159 273553359 305853029 497406477 820660077 917559087 1185397889 1492219431 2155428067 2752677261 3556193667 3976089377 6466284201 10668581001 11928268131 19398852603 35784804393 112248061643 336744184929 1010232554787 1459224801359 4377674404077 13133023212231