2013123112400 has 60 divisors (see below), whose sum is σ = 4842293719200. Its totient is φ = 804289338240.

The previous prime is 2013123112391. The next prime is 2013123112417. The reversal of 2013123112400 is 42113213102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2663690 + ... + 3334889.

It is an arithmetic number, because the mean of its divisors is an integer number (80704895320).

Almost surely, 2^{2013123112400} is an apocalyptic number.

2013123112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013123112400 is an abundant number, since it is smaller than the sum of its proper divisors (2829170606800).

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

2013123112400 is a wasteful number, since it uses less digits than its factorization.

2013123112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999436 (or 5999425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2013123112400 its reverse (42113213102), we get a palindrome (2055236325502).

The spelling of 2013123112400 in words is "two trillion, thirteen billion, one hundred twenty-three million, one hundred twelve thousand, four hundred".