13102970731200 has 1008 divisors, whose sum is σ = 55183894671360. Its totient is φ = 2885538816000.

The previous prime is 13102970731171. The next prime is 13102970731243. The reversal of 13102970731200 is 213707920131.

It is a happy number.

13102970731200 is a `hidden beast` number, since 1 + 310 + 2 + 9 + 70 + 73 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 715570045 + ... + 715588355.

Almost surely, 2^{13102970731200} is an apocalyptic number.

13102970731200 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 13102970731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591947335680).

13102970731200 is an abundant number, since it is smaller than the sum of its proper divisors (42080923940160).

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

13102970731200 is a wasteful number, since it uses less digits than its factorization.

13102970731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13102970731200 in words is "thirteen trillion, one hundred two billion, nine hundred seventy million, seven hundred thirty-one thousand, two hundred".