10010113213113 has 64 divisors (see below), whose sum is σ = 16134352819200. Its totient is φ = 6096931948800.

The previous prime is 10010113213109. The next prime is 10010113213147. The reversal of 10010113213113 is 31131231101001.

10010113213113 is a `hidden beast` number, since 10 + 0 + 10 + 11 + 321 + 311 + 3 = 666.

It is not a de Polignac number, because 10010113213113 - 2² = 10010113213109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010113213193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103716843 + ... + 103813311.

It is an arithmetic number, because the mean of its divisors is an integer number (252099262800).

Almost surely, 2^{10010113213113} is an apocalyptic number.

10010113213113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010113213113 is a deficient number, since it is larger than the sum of its proper divisors (6124239606087).

10010113213113 is a wasteful number, since it uses less digits than its factorization.

10010113213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99519 (or 99513 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10010113213113 its reverse (31131231101001), we get a palindrome (41141344314114).

It can be divided in two parts, 1001011 and 3213113, that added together give a palindrome (4214124).

The spelling of 10010113213113 in words is "ten trillion, ten billion, one hundred thirteen million, two hundred thirteen thousand, one hundred thirteen".