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12311113313213 = 11133137131572963
BaseRepresentation
bin1011001100100110011110…
…0010010010101110111101
31121120221010122122221021122
42303021213202102232331
53103201130002010323
642103351500040325
72410306602362051
oct263114742225675
947527118587248
1012311113313213
113a17128573880
121469b86b330a5
136b3c18a6b270
14307c0aa89c61
151653910a2ec8
hexb3267892bbd

12311113313213 has 64 divisors (see below), whose sum is σ = 15450556391424. Its totient is φ = 9653263776000.

The previous prime is 12311113313201. The next prime is 12311113313227. The reversal of 12311113313213 is 31231331111321.

It is not a de Polignac number, because 12311113313213 - 24 = 12311113313197 is a prime.

It is a super-2 number, since 2×123111133132132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311113313243) 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, 21200270 + ... + 21773232.

It is an arithmetic number, because the mean of its divisors is an integer number (241414943616).

Almost surely, 212311113313213 is an apocalyptic number.

12311113313213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12311113313213 is a deficient number, since it is larger than the sum of its proper divisors (3139443078211).

12311113313213 is a wasteful number, since it uses less digits than its factorization.

12311113313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573186.

The product of its digits is 972, while the sum is 26.

Adding to 12311113313213 its reverse (31231331111321), we get a palindrome (43542444424534).

The spelling of 12311113313213 in words is "twelve trillion, three hundred eleven billion, one hundred thirteen million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 11 13 31 37 131 143 341 403 407 481 1147 1441 1703 4061 4433 4847 5291 12617 14911 18733 44671 52793 53317 63011 150257 164021 572963 580723 693121 1652827 1953341 6302593 7448519 17761853 21199631 21486751 75058153 81933709 195380383 230904089 233195941 275595203 657188561 825639683 975755989 2326802743 2539944979 2777151661 3031547233 7229074171 8543451293 10733315879 25594830173 30248435659 30548668271 36102971593 86091701491 93977964223 332732792249 397132687523 947008716401 1119192119383 12311113313213