2013114113102 has 128 divisors (see below), whose sum is σ = 3280825658880. Its totient is φ = 924618240000.

The previous prime is 2013114113093. The next prime is 2013114113111.

2013114113102 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2013114113093) and next prime (2013114113111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7428465227 + ... + 7428465497.

It is an arithmetic number, because the mean of its divisors is an integer number (25631450460).

Almost surely, 2^{2013114113102} is an apocalyptic number.

2013114113102 is a deficient number, since it is larger than the sum of its proper divisors (1267711545778).

2013114113102 is a wasteful number, since it uses less digits than its factorization.

2013114113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2013114113102 in words is "two trillion, thirteen billion, one hundred fourteen million, one hundred thirteen thousand, one hundred two".