13013311120 has 40 divisors (see below), whose sum is σ = 30899700864. Its totient is φ = 5094571392.

The previous prime is 13013311081. The next prime is 13013311121. The reversal of 13013311120 is 2111331031.

13013311120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 13013311094 and 13013311103.

It is not an unprimeable number, because it can be changed into a prime (13013311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726734 + ... + 1734253.

Almost surely, 2^13013311120 is an apocalyptic number.

13013311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013311120 is an abundant number, since it is smaller than the sum of its proper divisors (17886389744).

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

13013311120 is a wasteful number, since it uses less digits than its factorization.

13013311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461047 (or 3461041 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13013311120 its reverse (2111331031), we get a palindrome (15124642151).

The spelling of 13013311120 in words is "thirteen billion, thirteen million, three hundred eleven thousand, one hundred twenty".