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12313101030013 = 717247269481417
BaseRepresentation
bin1011001100101101111000…
…0000110101001001111101
31121121010021011220102010101
42303023132000311021331
53103214212330430023
642104321023441101
72410410056604550
oct263133600651175
947533234812111
1012313101030013
113a17a58590933
12146a440756191
136b4174804754
14307d58a68697
1516545a83b1ad
hexb32de03527d

12313101030013 has 48 divisors (see below), whose sum is σ = 15323419399680. Its totient is φ = 9685751003136.

The previous prime is 12313101029987. The next prime is 12313101030017. The reversal of 12313101030013 is 31003010131321.

It is not a de Polignac number, because 12313101030013 - 237 = 12175662076541 is a prime.

It is a super-2 number, since 2×123131010300132 (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 (12313101030017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25336081 + ... + 25817497.

It is an arithmetic number, because the mean of its divisors is an integer number (319237904160).

Almost surely, 212313101030013 is an apocalyptic number.

It is an amenable number.

12313101030013 is a deficient number, since it is larger than the sum of its proper divisors (3010318369667).

12313101030013 is a wasteful number, since it uses less digits than its factorization.

12313101030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481774 (or 481757 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12313101030013 its reverse (31003010131321), we get a palindrome (43316111161334).

The spelling of 12313101030013 in words is "twelve trillion, three hundred thirteen billion, one hundred one million, thirty thousand, thirteen".

Divisors: 1 7 17 47 119 269 289 329 799 1883 2023 4573 5593 12643 13583 32011 77741 88501 95081 214931 481417 544187 1504517 3369919 3653827 8184089 22626599 25576789 57288623 129501173 139129513 158386193 384652183 906508211 973906591 2201519941 2692565281 6086555131 6539087111 15410639587 37425838997 42605885917 45773609777 103471437227 261980872979 724300060589 1759014432859 12313101030013