2013013304400 has 120 divisors (see below), whose sum is σ = 7369545880384. Its totient is φ = 460117324800.

The previous prime is 2013013304387. The next prime is 2013013304417. The reversal of 2013013304400 is 44033103102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119813821 + ... + 119830620.

Almost surely, 2^{2013013304400} is an apocalyptic number.

2013013304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013013304400 is an abundant number, since it is smaller than the sum of its proper divisors (5356532575984).

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

2013013304400 is a wasteful number, since it uses less digits than its factorization.

2013013304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239644469 (or 239644458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2013013304400 its reverse (44033103102), we get a palindrome (2057046407502).

The spelling of 2013013304400 in words is "two trillion, thirteen billion, thirteen million, three hundred four thousand, four hundred".