13053116076 has 384 divisors, whose sum is σ = 42479001600. Its totient is φ = 3073593600.

The previous prime is 13053116039. The next prime is 13053116099. The reversal of 13053116076 is 67061135031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 39435231 + ... + 39435561.

It is an arithmetic number, because the mean of its divisors is an integer number (110622400).

Almost surely, 2^13053116076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053116076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21239500800).

13053116076 is an abundant number, since it is smaller than the sum of its proper divisors (29425885524).

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

13053116076 is a wasteful number, since it uses less digits than its factorization.

13053116076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 13053116076 in words is "thirteen billion, fifty-three million, one hundred sixteen thousand, seventy-six".