13013023120 has 20 divisors (see below), whose sum is σ = 30255278940. Its totient is φ = 5205209216.

The previous prime is 13013023117. The next prime is 13013023129. The reversal of 13013023120 is 2132031031.

It can be written as a sum of positive squares in 2 ways, for example, as 7346546944 + 5666476176 = 85712^2 + 75276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13013023094 and 13013023103.

It is not an unprimeable number, because it can be changed into a prime (13013023129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81331315 + ... + 81331474.

It is an arithmetic number, because the mean of its divisors is an integer number (1512763947).

Almost surely, 2^13013023120 is an apocalyptic number.

13013023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013023120 is an abundant number, since it is smaller than the sum of its proper divisors (17242255820).

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

13013023120 is a wasteful number, since it uses less digits than its factorization.

13013023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162662802 (or 162662796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13013023120 its reverse (2132031031), we get a palindrome (15145054151).

The spelling of 13013023120 in words is "thirteen billion, thirteen million, twenty-three thousand, one hundred twenty".