13013120033 has 12 divisors (see below), whose sum is σ = 14300311740. Its totient is φ = 11825302272.

The previous prime is 13013120017. The next prime is 13013120041. The reversal of 13013120033 is 33002131031.

It can be written as a sum of positive squares in 6 ways, for example, as 2857116304 + 10156003729 = 53452^2 + 100777^2 .

It is not a de Polignac number, because 13013120033 - 2⁴ = 13013120017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13013119993 and 13013120020.

It is not an unprimeable number, because it can be changed into a prime (13013120933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767966 + ... + 784727.

It is an arithmetic number, because the mean of its divisors is an integer number (1191692645).

Almost surely, 2^13013120033 is an apocalyptic number.

It is an amenable number.

13013120033 is a deficient number, since it is larger than the sum of its proper divisors (1287191707).

13013120033 is a wasteful number, since it uses less digits than its factorization.

13013120033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552756 (or 1552739 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13013120033 its reverse (33002131031), we get a palindrome (46015251064).

The spelling of 13013120033 in words is "thirteen billion, thirteen million, one hundred twenty thousand, thirty-three".