13301132100984 has 768 divisors, whose sum is σ = 47263512441600. Its totient is φ = 3279339454464.

The previous prime is 13301132100983. The next prime is 13301132101087. The reversal of 13301132100984 is 48900123110331.

13301132100984 is a `hidden beast` number, since 1 + 330 + 1 + 132 + 100 + 98 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301132100983) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 16688998474 + ... + 16688999270.

It is an arithmetic number, because the mean of its divisors is an integer number (61541031825).

Almost surely, 2^{13301132100984} is an apocalyptic number.

13301132100984 is a gapful number since it is divisible by the number (14) 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 13301132100984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631756220800).

13301132100984 is an abundant number, since it is smaller than the sum of its proper divisors (33962380340616).

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

13301132100984 is a wasteful number, since it uses less digits than its factorization.

13301132100984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13301132100984 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, one hundred thousand, nine hundred eighty-four".