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12313020010013 = 295950914138287
BaseRepresentation
bin1011001100101101100100…
…1011110000111000011101
31121121010001112110011120122
42303023121023300320131
53103214031110310023
642104305011124325
72410405054132622
oct263133113607035
947533045404518
1012313020010013
113a17a16883358
12146a4195a36a5
136b4160aa8018
14307d4bdb8349
151654536852c8
hexb32d92f0e1d

12313020010013 has 16 divisors (see below), whose sum is σ = 12978948384000. Its totient is φ = 11663972843712.

The previous prime is 12313020009977. The next prime is 12313020010033. The reversal of 12313020010013 is 31001002031321.

It is not a de Polignac number, because 12313020010013 - 230 = 12311946268189 is a prime.

It is a super-2 number, since 2×123130200100132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313020009973 and 12313020010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313020010033) 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 15 ways as a sum of consecutive naturals, for example, 6198245 + ... + 7940042.

It is an arithmetic number, because the mean of its divisors is an integer number (811184274000).

Almost surely, 212313020010013 is an apocalyptic number.

It is an amenable number.

12313020010013 is a deficient number, since it is larger than the sum of its proper divisors (665928373987).

12313020010013 is a wasteful number, since it uses less digits than its factorization.

12313020010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138884.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12313020010013 its reverse (31001002031321), we get a palindrome (43314022041334).

The spelling of 12313020010013 in words is "twelve trillion, three hundred thirteen billion, twenty million, ten thousand, thirteen".

Divisors: 1 29 59 509 1711 14761 30031 870899 14138287 410010323 834158933 7196388083 24190609057 208695254407 424586896897 12313020010013