13042525380816 has 160 divisors (see below), whose sum is σ = 34876882022400. Its totient is φ = 4196759592960.

The previous prime is 13042525380751. The next prime is 13042525380847. The reversal of 13042525380816 is 61808352524031.

13042525380816 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115079665 + ... + 115192943.

It is an arithmetic number, because the mean of its divisors is an integer number (217980512640).

Almost surely, 2^{13042525380816} is an apocalyptic number.

13042525380816 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 13042525380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17438441011200).

13042525380816 is an abundant number, since it is smaller than the sum of its proper divisors (21834356641584).

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

13042525380816 is a wasteful number, since it uses less digits than its factorization.

13042525380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113837 (or 113831 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 13042525380816 in words is "thirteen trillion, forty-two billion, five hundred twenty-five million, three hundred eighty thousand, eight hundred sixteen".