13130132332311 has 32 divisors (see below), whose sum is σ = 20083537264640. Its totient is φ = 8469363952800.

The previous prime is 13130132332301. The next prime is 13130132332349. The reversal of 13130132332311 is 11323323103131.

13130132332311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 1 + 323 + 323 + 11 = 666.

It is not a de Polignac number, because 13130132332311 - 2⁵ = 13130132332279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130132332301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2642721 + ... + 5765781.

It is an arithmetic number, because the mean of its divisors is an integer number (627610539520).

Almost surely, 2^{13130132332311} is an apocalyptic number.

13130132332311 is a deficient number, since it is larger than the sum of its proper divisors (6953404932329).

13130132332311 is a wasteful number, since it uses less digits than its factorization.

13130132332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128124 (or 3128118 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13130132332311 its reverse (11323323103131), we get a palindrome (24453455435442).

The spelling of 13130132332311 in words is "thirteen trillion, one hundred thirty billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred eleven".