13102248924160 has 1056 divisors, whose sum is σ = 38035860508800. Its totient is φ = 4310020915200.

The previous prime is 13102248924137. The next prime is 13102248924161. The reversal of 13102248924160 is 6142984220131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102248924161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44717572974 + ... + 44717573266.

It is an arithmetic number, because the mean of its divisors is an integer number (36018807300).

Almost surely, 2^{13102248924160} is an apocalyptic number.

13102248924160 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 13102248924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017930254400).

13102248924160 is an abundant number, since it is smaller than the sum of its proper divisors (24933611584640).

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

13102248924160 is a wasteful number, since it uses less digits than its factorization.

13102248924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 13102248924160 in words is "thirteen trillion, one hundred two billion, two hundred forty-eight million, nine hundred twenty-four thousand, one hundred sixty".