13133792734734 has 256 divisors, whose sum is σ = 31701196800000. Its totient is φ = 3548613100032.

The previous prime is 13133792734703. The next prime is 13133792734771. The reversal of 13133792734734 is 43743729733131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8023085764 + ... + 8023087400.

It is an arithmetic number, because the mean of its divisors is an integer number (123832800000).

Almost surely, 2^{13133792734734} is an apocalyptic number.

13133792734734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133792734734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400000).

13133792734734 is an abundant number, since it is smaller than the sum of its proper divisors (18567404065266).

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

13133792734734 is a wasteful number, since it uses less digits than its factorization.

13133792734734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375.

The product of its digits is 24004512, while the sum is 57.

The spelling of 13133792734734 in words is "thirteen trillion, one hundred thirty-three billion, seven hundred ninety-two million, seven hundred thirty-four thousand, seven hundred thirty-four".