13001313120 has 48 divisors (see below), whose sum is σ = 40954137840. Its totient is φ = 3467016704.

The previous prime is 13001313053. The next prime is 13001313133. The reversal of 13001313120 is 2131310031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13001313120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13542555 + ... + 13543514.

It is an arithmetic number, because the mean of its divisors is an integer number (853211205).

Almost surely, 2^13001313120 is an apocalyptic number.

13001313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001313120 is an abundant number, since it is smaller than the sum of its proper divisors (27952824720).

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

13001313120 is a wasteful number, since it uses less digits than its factorization.

13001313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27086087 (or 27086079 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13001313120 its reverse (2131310031), we get a palindrome (15132623151).

The spelling of 13001313120 in words is "thirteen billion, one million, three hundred thirteen thousand, one hundred twenty".