313413024105 has 192 divisors, whose sum is σ = 578045445120. Its totient is φ = 156936019968.

The previous prime is 313413024007. The next prime is 313413024173. The reversal of 313413024105 is 501420314313.

It is a happy number.

313413024105 is a `hidden beast` number, since 3 + 1 + 3 + 413 + 0 + 241 + 0 + 5 = 666.

It is not a de Polignac number, because 313413024105 - 2¹⁰ = 313413023081 is a prime.

It is a super-2 number, since 2×313413024105² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1380674002 + ... + 1380674228.

It is an arithmetic number, because the mean of its divisors is an integer number (3010653360).

Almost surely, 2^313413024105 is an apocalyptic number.

It is an amenable number.

313413024105 is a deficient number, since it is larger than the sum of its proper divisors (264632421015).

313413024105 is a wasteful number, since it uses less digits than its factorization.

313413024105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 313413024105 its reverse (501420314313), we get a palindrome (814833338418).

The spelling of 313413024105 in words is "three hundred thirteen billion, four hundred thirteen million, twenty-four thousand, one hundred five".