13513310676 has 288 divisors, whose sum is σ = 38833966080. Its totient is φ = 4092747264.

The previous prime is 13513310653. The next prime is 13513310687. The reversal of 13513310676 is 67601331531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13513310676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80917945 + ... + 80918111.

It is an arithmetic number, because the mean of its divisors is an integer number (134840160).

Almost surely, 2^13513310676 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 13513310676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19416983040).

13513310676 is an abundant number, since it is smaller than the sum of its proper divisors (25320655404).

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

13513310676 is a wasteful number, since it uses less digits than its factorization.

13513310676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13513310676 in words is "thirteen billion, five hundred thirteen million, three hundred ten thousand, six hundred seventy-six".