2013813902100 has 2592 divisors, whose sum is σ = 8755494612480. Its totient is φ = 352545177600.

The previous prime is 2013813902069. The next prime is 2013813902123. The reversal of 2013813902100 is 12093183102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 18475356846 + ... + 18475356954.

It is an arithmetic number, because the mean of its divisors is an integer number (3377891440).

Almost surely, 2^{2013813902100} is an apocalyptic number.

2013813902100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013813902100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377747306240).

2013813902100 is an abundant number, since it is smaller than the sum of its proper divisors (6741680710380).

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

2013813902100 is a wasteful number, since it uses less digits than its factorization.

2013813902100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 2013813902100 in words is "two trillion, thirteen billion, eight hundred thirteen million, nine hundred two thousand, one hundred".