13133798510976 has 512 divisors, whose sum is σ = 45605133504000. Its totient is φ = 3668510269440.

The previous prime is 13133798510969. The next prime is 13133798511007. The reversal of 13133798510976 is 67901589733131.

13133798510976 is a `hidden beast` number, since 1 + 3 + 13 + 37 + 9 + 8 + 510 + 9 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350374731 + ... + 350412213.

It is an arithmetic number, because the mean of its divisors is an integer number (89072526375).

Almost surely, 2^{13133798510976} is an apocalyptic number.

13133798510976 is a gapful number since it is divisible by the number (16) 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 13133798510976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802566752000).

13133798510976 is an abundant number, since it is smaller than the sum of its proper divisors (32471334993024).

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

13133798510976 is a wasteful number, since it uses less digits than its factorization.

13133798510976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38239 (or 38221 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 13133798510976 in words is "thirteen trillion, one hundred thirty-three billion, seven hundred ninety-eight million, five hundred ten thousand, nine hundred seventy-six".