13153297000320 has 384 divisors, whose sum is σ = 49872927817440. Its totient is φ = 3301218975744.

The previous prime is 13153297000309. The next prime is 13153297000357. The reversal of 13153297000320 is 2300079235131.

It is a happy number.

13153297000320 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 329 + 7 + 0 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13153297000320² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 156304 + ... + 5131376.

Almost surely, 2^{13153297000320} is an apocalyptic number.

13153297000320 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 13153297000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24936463908720).

13153297000320 is an abundant number, since it is smaller than the sum of its proper divisors (36719630817120).

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

13153297000320 is an equidigital number, since it uses as much as digits as its factorization.

13153297000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975124 (or 4975100 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13153297000320 in words is "thirteen trillion, one hundred fifty-three billion, two hundred ninety-seven million, three hundred twenty", and thus it is an aban number.