2013113102 has 32 divisors (see below), whose sum is σ = 4054385664. Its totient is φ = 723996000.

The previous prime is 2013113093. The next prime is 2013113107.

2013113102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2013113102² = 8105248722888124808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013113107) 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, 500774 + ... + 504777.

It is an arithmetic number, because the mean of its divisors is an integer number (126699552).

Almost surely, 2^2013113102 is an apocalyptic number.

2013113102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2013113102 is an abundant number, since it is smaller than the sum of its proper divisors (2041272562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013113102 is a wasteful number, since it uses less digits than its factorization.

2013113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005584.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2013113102 is about 44867.7289596877. The cubic root of 2013113102 is about 1262.6686326000.

It can be divided in two parts, 20131 and 13102, that added together give a palindrome (33233).

The spelling of 2013113102 in words is "two billion, thirteen million, one hundred thirteen thousand, one hundred two".