13133005120 has 56 divisors (see below), whose sum is σ = 31284138600. Its totient is φ = 5251325952.

The previous prime is 13133005079. The next prime is 13133005147. The reversal of 13133005120 is 2150033131.

It can be written as a sum of positive squares in 4 ways, for example, as 501043456 + 12631961664 = 22384^2 + 112392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200636 + ... + 1211524.

Almost surely, 2^13133005120 is an apocalyptic number.

13133005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133005120 is an abundant number, since it is smaller than the sum of its proper divisors (18151133480).

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

13133005120 is a wasteful number, since it uses less digits than its factorization.

13133005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14675 (or 14665 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 13133005120 its reverse (2150033131), we get a palindrome (15283038251).

The spelling of 13133005120 in words is "thirteen billion, one hundred thirty-three million, five thousand, one hundred twenty".