130013122311 has 12 divisors (see below), whose sum is σ = 189906809040. Its totient is φ = 85701533280.

The previous prime is 130013122301. The next prime is 130013122331. The reversal of 130013122311 is 113221310031.

130013122311 is a `hidden beast` number, since 1 + 300 + 1 + 31 + 22 + 311 = 666.

It is not a de Polignac number, because 130013122311 - 2³³ = 121423187719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81155955 + ... + 81157556.

It is an arithmetic number, because the mean of its divisors is an integer number (15825567420).

Almost surely, 2^130013122311 is an apocalyptic number.

130013122311 is a deficient number, since it is larger than the sum of its proper divisors (59893686729).

130013122311 is a wasteful number, since it uses less digits than its factorization.

130013122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162313606 (or 162313603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130013122311 its reverse (113221310031), we get a palindrome (243234432342).

The spelling of 130013122311 in words is "one hundred thirty billion, thirteen million, one hundred twenty-two thousand, three hundred eleven".