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13130310402033 = 31137239262117167
BaseRepresentation
bin1011111100010010001101…
…1111001011111111110001
31201111020121220111211102220
42333010203133023333301
53210111333430331113
643531551544431253
72523430221631056
oct277044337137761
951436556454386
1013130310402033
114202595a08530
1215808aa478529
1374324bc60596
1433572081102d
1517b8398b1523
hexbf1237cbff1

13130310402033 has 64 divisors (see below), whose sum is σ = 19705545768960. Its totient is φ = 7706902291200.

The previous prime is 13130310402019. The next prime is 13130310402043. The reversal of 13130310402033 is 33020401303131.

It is a happy number.

It is not a de Polignac number, because 13130310402033 - 210 = 13130310401009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130310401994 and 13130310402012.

It is not an unprimeable number, because it can be changed into a prime (13130310402043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764849016 + ... + 764866182.

It is an arithmetic number, because the mean of its divisors is an integer number (307899152640).

Almost surely, 213130310402033 is an apocalyptic number.

It is an amenable number.

13130310402033 is a deficient number, since it is larger than the sum of its proper divisors (6575235366927).

13130310402033 is a wasteful number, since it uses less digits than its factorization.

13130310402033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20078.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13130310402033 its reverse (33020401303131), we get a palindrome (46150711705164).

The spelling of 13130310402033 in words is "thirteen trillion, one hundred thirty billion, three hundred ten million, four hundred two thousand, thirty-three".

Divisors: 1 3 11 33 37 111 239 407 717 1221 2621 2629 7863 7887 8843 17167 26529 28831 51501 86493 96977 97273 188837 290931 291819 566511 626419 635179 1066747 1879257 1905537 3200241 4102913 6890609 6986969 12308739 20671827 20960907 23177503 44994707 45132043 69532509 134984121 135396129 151807781 254952533 455423343 494941777 764857599 1484825331 1664804159 1669885591 4994412477 5009656773 10753734973 18312845749 32261204919 54938537247 118291084703 354873254109 397888194001 1193664582003 4376770134011 13130310402033