1013113102113 has 12 divisors (see below), whose sum is σ = 1672440676608. Its totient is φ = 578921772600.

The previous prime is 1013113102109. The next prime is 1013113102121. The reversal of 1013113102113 is 3112013113101.

1013113102113 is a `hidden beast` number, since 10 + 1 + 311 + 310 + 21 + 13 = 666.

It is not a de Polignac number, because 1013113102113 - 2² = 1013113102109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013113102163) 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 11 ways as a sum of consecutive naturals, for example, 8040580113 + ... + 8040580238.

It is an arithmetic number, because the mean of its divisors is an integer number (139370056384).

Almost surely, 2^{1013113102113} is an apocalyptic number.

It is an amenable number.

1013113102113 is a deficient number, since it is larger than the sum of its proper divisors (659327574495).

1013113102113 is a wasteful number, since it uses less digits than its factorization.

1013113102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081160364 (or 16081160361 counting only the distinct ones).

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

Adding to 1013113102113 its reverse (3112013113101), we get a palindrome (4125126215214).

The spelling of 1013113102113 in words is "one trillion, thirteen billion, one hundred thirteen million, one hundred two thousand, one hundred thirteen".