13008397003200 has 1344 divisors, whose sum is σ = 50723093514240. Its totient is φ = 3235921920000.

The previous prime is 13008397003193. The next prime is 13008397003219. The reversal of 13008397003200 is 230079380031.

It is a happy number.

13008397003200 is a `hidden beast` number, since 1 + 300 + 83 + 9 + 70 + 0 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6842922250 + ... + 6842924150.

It is an arithmetic number, because the mean of its divisors is an integer number (37740396960).

Almost surely, 2^{13008397003200} is an apocalyptic number.

13008397003200 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 13008397003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25361546757120).

13008397003200 is an abundant number, since it is smaller than the sum of its proper divisors (37714696511040).

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

13008397003200 is a wasteful number, since it uses less digits than its factorization.

13008397003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13008397003200 in words is "thirteen trillion, eight billion, three hundred ninety-seven million, three thousand, two hundred".