13102922880 has 640 divisors, whose sum is σ = 50384980800. Its totient is φ = 3234816000.

The previous prime is 13102922879. The next prime is 13102922893. The reversal of 13102922880 is 8822920131.

13102922880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52202755 + ... + 52203005.

Almost surely, 2^13102922880 is an apocalyptic number.

13102922880 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 13102922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25192490400).

13102922880 is an abundant number, since it is smaller than the sum of its proper divisors (37282057920).

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

13102922880 is a wasteful number, since it uses less digits than its factorization.

13102922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13102922880 in words is "thirteen billion, one hundred two million, nine hundred twenty-two thousand, eight hundred eighty".