13003011002400 has 144 divisors (see below), whose sum is σ = 42328541049984. Its totient is φ = 3467163182080.

The previous prime is 13003011002393. The next prime is 13003011002437. The reversal of 13003011002400 is 420011030031.

13003011002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13003011002400.

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, 27599209 + ... + 28066391.

It is an arithmetic number, because the mean of its divisors is an integer number (293948201736).

Almost surely, 2^{13003011002400} is an apocalyptic number.

13003011002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003011002400 is an abundant number, since it is smaller than the sum of its proper divisors (29325530047584).

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

13003011002400 is a wasteful number, since it uses less digits than its factorization.

13003011002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478803 (or 478790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13003011002400 its reverse (420011030031), we get a palindrome (13423022032431).

The spelling of 13003011002400 in words is "thirteen trillion, three billion, eleven million, two thousand, four hundred".