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12313032321213 = 331341855606443
BaseRepresentation
bin1011001100101101100111…
…1010101110100010111101
31121121010002101121122101000
42303023121322232202331
53103214042233234323
642104310131040513
72410405263566421
oct263133172564275
947533071548330
1012313032321213
113a17a228219a8
12146a421740139
136b41634c8860
14307d4d8a0b81
151654547b7e43
hexb32d9eae8bd

12313032321213 has 32 divisors (see below), whose sum is σ = 20123863562880. Its totient is φ = 7392439658880.

The previous prime is 12313032321199. The next prime is 12313032321229. The reversal of 12313032321213 is 31212323031321.

12313032321213 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 303 + 232 + 121 + 3 = 666.

It is not a de Polignac number, because 12313032321213 - 24 = 12313032321197 is a prime.

It is a super-2 number, since 2×123130323212132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313032321613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427788831 + ... + 427817612.

It is an arithmetic number, because the mean of its divisors is an integer number (628870736340).

Almost surely, 212313032321213 is an apocalyptic number.

12313032321213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12313032321213 is a deficient number, since it is larger than the sum of its proper divisors (7810831241667).

12313032321213 is a wasteful number, since it uses less digits than its factorization.

12313032321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855606506 (or 855606500 counting only the distinct ones).

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

Adding to 12313032321213 its reverse (31212323031321), we get a palindrome (43525355352534).

The spelling of 12313032321213 in words is "twelve trillion, three hundred thirteen billion, thirty-two million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 1107 1599 4797 14391 855606443 2566819329 7700457987 11122883759 23101373961 33368651277 35079864163 100105953831 105239592489 300317861493 315718777467 456038234119 947156332401 1368114702357 4104344107071 12313032321213