13142793120 has 192 divisors, whose sum is σ = 42008150016. Its totient is φ = 3453649920.

The previous prime is 13142793119. The next prime is 13142793149. The reversal of 13142793120 is 2139724131.

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, 10179675 + ... + 10180965.

It is an arithmetic number, because the mean of its divisors is an integer number (218792448).

Almost surely, 2^13142793120 is an apocalyptic number.

13142793120 is a gapful number since it is divisible by the number (10) 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 13142793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004075008).

13142793120 is an abundant number, since it is smaller than the sum of its proper divisors (28865356896).

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

13142793120 is a wasteful number, since it uses less digits than its factorization.

13142793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 13142793120 in words is "thirteen billion, one hundred forty-two million, seven hundred ninety-three thousand, one hundred twenty".