13152968372700 has 432 divisors, whose sum is σ = 47103438520320. Its totient is φ = 3043092810240.

The previous prime is 13152968372659. The next prime is 13152968372707. The reversal of 13152968372700 is 727386925131.

13152968372700 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 296 + 83 + 7 + 270 + 0 = 666.

It is a super-2 number, since 2×13152968372700² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13152968372707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27999157 + ... + 28465043.

Almost surely, 2^{13152968372700} is an apocalyptic number.

13152968372700 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 13152968372700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23551719260160).

13152968372700 is an abundant number, since it is smaller than the sum of its proper divisors (33950470147620).

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

13152968372700 is a wasteful number, since it uses less digits than its factorization.

13152968372700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466066 (or 466056 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13152968372700 in words is "thirteen trillion, one hundred fifty-two billion, nine hundred sixty-eight million, three hundred seventy-two thousand, seven hundred".