13008212800 has 84 divisors (see below), whose sum is σ = 34918229376. Its totient is φ = 4730252800.

The previous prime is 13008212783. The next prime is 13008212809. The reversal of 13008212800 is 821280031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008212809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351952 + ... + 387151.

Almost surely, 2^13008212800 is an apocalyptic number.

13008212800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13008212800 is an abundant number, since it is smaller than the sum of its proper divisors (21910016576).

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

13008212800 is a wasteful number, since it uses less digits than its factorization.

13008212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739136 (or 739121 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13008212800 its reverse (821280031), we get a palindrome (13829492831).

The spelling of 13008212800 in words is "thirteen billion, eight million, two hundred twelve thousand, eight hundred".