10113012013 has 16 divisors (see below), whose sum is σ = 11191645696. Its totient is φ = 9077624640.

The previous prime is 10113011981. The next prime is 10113012031. The reversal of 10113012013 is 31021031101.

10113012013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10113012013 - 2⁵ = 10113011981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10113011984 and 10113012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113012083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025878 + ... + 1035688.

It is an arithmetic number, because the mean of its divisors is an integer number (699477856).

Almost surely, 2^10113012013 is an apocalyptic number.

10113012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10113012013 is a deficient number, since it is larger than the sum of its proper divisors (1078633683).

10113012013 is a wasteful number, since it uses less digits than its factorization.

10113012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10113012013 its reverse (31021031101), we get a palindrome (41134043114).

The spelling of 10113012013 in words is "ten billion, one hundred thirteen million, twelve thousand, thirteen".