2013011110000 has 100 divisors (see below), whose sum is σ = 5316765234264. Its totient is φ = 732004000000.

The previous prime is 2013011109973. The next prime is 2013011110027. The reversal of 2013011110000 is 111103102.

It is an interprime number because it is at equal distance from previous prime (2013011109973) and next prime (2013011110027).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9040051 + ... + 9260050.

Almost surely, 2^{2013011110000} is an apocalyptic number.

2013011110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013011110000 is an abundant number, since it is smaller than the sum of its proper divisors (3303754124264).

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

2013011110000 is a wasteful number, since it uses less digits than its factorization.

2013011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300140 (or 18300119 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 2013011110000 its reverse (111103102), we get a palindrome (2013122213102).

The spelling of 2013011110000 in words is "two trillion, thirteen billion, eleven million, one hundred ten thousand".