130332013 has 24 divisors (see below), whose sum is σ = 162284472. Its totient is φ = 103993344.

The previous prime is 130331983. The next prime is 130332043. The reversal of 130332013 is 310233031.

It is an interprime number because it is at equal distance from previous prime (130331983) and next prime (130332043).

It can be written as a sum of positive squares in 4 ways, for example, as 38900169 + 91431844 = 6237^2 + 9562^2 .

It is not a de Polignac number, because 130332013 - 2²¹ = 128234861 is a prime.

It is a super-2 number, since 2×130332013² = 33972867225264338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79995 + ... + 81607.

It is an arithmetic number, because the mean of its divisors is an integer number (6761853).

Almost surely, 2^130332013 is an apocalyptic number.

It is an amenable number.

130332013 is a deficient number, since it is larger than the sum of its proper divisors (31952459).

130332013 is a wasteful number, since it uses less digits than its factorization.

130332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 130332013 is about 11416.3046998580. The cubic root of 130332013 is about 507.0105943864.

Adding to 130332013 its reverse (310233031), we get a palindrome (440565044).

The spelling of 130332013 in words is "one hundred thirty million, three hundred thirty-two thousand, thirteen".