13513100961672 has 288 divisors, whose sum is σ = 41858128166400. Its totient is φ = 3925578069504.

The previous prime is 13513100961667. The next prime is 13513100961683. The reversal of 13513100961672 is 27616900131531.

13513100961672 is a `hidden beast` number, since 1 + 3 + 5 + 13 + 10 + 0 + 9 + 616 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67639513 + ... + 67838999.

It is an arithmetic number, because the mean of its divisors is an integer number (145340722800).

Almost surely, 2^{13513100961672} is an apocalyptic number.

13513100961672 is a gapful number since it is divisible by the number (12) 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 13513100961672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929064083200).

13513100961672 is an abundant number, since it is smaller than the sum of its proper divisors (28345027204728).

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

13513100961672 is a wasteful number, since it uses less digits than its factorization.

13513100961672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199837 (or 199817 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13513100961672 in words is "thirteen trillion, five hundred thirteen billion, one hundred million, nine hundred sixty-one thousand, six hundred seventy-two".