13112502733152 has 240 divisors, whose sum is σ = 38887819740000. Its totient is φ = 4334175406080.

The previous prime is 13112502733151. The next prime is 13112502733163. The reversal of 13112502733152 is 25133720521131.

13112502733152 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 502 + 73 + 31 + 52 = 666.

13112502733152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13112502733151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231310252 + ... + 231366932.

It is an arithmetic number, because the mean of its divisors is an integer number (162032582250).

Almost surely, 2^{13112502733152} is an apocalyptic number.

13112502733152 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 13112502733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443909870000).

13112502733152 is an abundant number, since it is smaller than the sum of its proper divisors (25775317006848).

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

13112502733152 is a wasteful number, since it uses less digits than its factorization.

13112502733152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57451 (or 57434 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13112502733152 in words is "thirteen trillion, one hundred twelve billion, five hundred two million, seven hundred thirty-three thousand, one hundred fifty-two".