13008012600 has 384 divisors, whose sum is σ = 45964558080. Its totient is φ = 3015168000.

The previous prime is 13008012593. The next prime is 13008012623. The reversal of 13008012600 is 621080031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14341347 + ... + 14342253.

It is an arithmetic number, because the mean of its divisors is an integer number (119699370).

Almost surely, 2^13008012600 is an apocalyptic number.

13008012600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13008012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982279040).

13008012600 is an abundant number, since it is smaller than the sum of its proper divisors (32956545480).

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

13008012600 is a wasteful number, since it uses less digits than its factorization.

13008012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13008012600 its reverse (621080031), we get a palindrome (13629092631).

The spelling of 13008012600 in words is "thirteen billion, eight million, twelve thousand, six hundred".