10010400031313 has 32 divisors (see below), whose sum is σ = 11127538974720. Its totient is φ = 8929381032000.

The previous prime is 10010400031309. The next prime is 10010400031349. The reversal of 10010400031313 is 31313000401001.

It is not a de Polignac number, because 10010400031313 - 2² = 10010400031309 is a prime.

It is a super-2 number, since 2×10010400031313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010400031291 and 10010400031300.

It is not an unprimeable number, because it can be changed into a prime (10010400031213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93439568 + ... + 93546638.

It is an arithmetic number, because the mean of its divisors is an integer number (347735592960).

Almost surely, 2^{10010400031313} is an apocalyptic number.

It is an amenable number.

10010400031313 is a deficient number, since it is larger than the sum of its proper divisors (1117138943407).

10010400031313 is a wasteful number, since it uses less digits than its factorization.

10010400031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107829.

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

Adding to 10010400031313 its reverse (31313000401001), we get a palindrome (41323400432314).

The spelling of 10010400031313 in words is "ten trillion, ten billion, four hundred million, thirty-one thousand, three hundred thirteen".