13100899331520 has 3360 divisors, whose sum is σ = 64937467336896. Its totient is φ = 2463635865600.

The previous prime is 13100899331501. The next prime is 13100899331521. The reversal of 13100899331520 is 2513399800131.

13100899331520 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 8 + 9 + 93 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100899331521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9625935640 + ... + 9625937000.

Almost surely, 2^{13100899331520} is an apocalyptic number.

13100899331520 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 13100899331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32468733668448).

13100899331520 is an abundant number, since it is smaller than the sum of its proper divisors (51836568005376).

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

13100899331520 is a wasteful number, since it uses less digits than its factorization.

13100899331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13100899331520 in words is "thirteen trillion, one hundred billion, eight hundred ninety-nine million, three hundred thirty-one thousand, five hundred twenty".