13010034400 has 72 divisors (see below), whose sum is σ = 34648110504. Its totient is φ = 4730918400.

The previous prime is 13010034379. The next prime is 13010034419. The reversal of 13010034400 is 443001031.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 730407 + ... + 748006.

It is an arithmetic number, because the mean of its divisors is an integer number (481223757).

Almost surely, 2^13010034400 is an apocalyptic number.

13010034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010034400 is an abundant number, since it is smaller than the sum of its proper divisors (21638076104).

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

13010034400 is a wasteful number, since it uses less digits than its factorization.

13010034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478444 (or 1478431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13010034400 its reverse (443001031), we get a palindrome (13453035431).

The spelling of 13010034400 in words is "thirteen billion, ten million, thirty-four thousand, four hundred".