13101024998880 has 4320 divisors, whose sum is σ = 63937062352800. Its totient is φ = 2418459918336.

The previous prime is 13101024998869. The next prime is 13101024998953. The reversal of 13101024998880 is 8889942010131.

It is a happy number.

13101024998880 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 249 + 9 + 8 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 451759482706 + ... + 451759482734.

It is an arithmetic number, because the mean of its divisors is an integer number (14800245915).

Almost surely, 2^{13101024998880} is an apocalyptic number.

13101024998880 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 13101024998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968531176400).

13101024998880 is an abundant number, since it is smaller than the sum of its proper divisors (50836037353920).

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

13101024998880 is a wasteful number, since it uses less digits than its factorization.

13101024998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 13101024998880 in words is "thirteen trillion, one hundred one billion, twenty-four million, nine hundred ninety-eight thousand, eight hundred eighty".