131331222133131 has 64 divisors (see below), whose sum is σ = 178361879348736. Its totient is φ = 85946230656000.

The previous prime is 131331222133121. The next prime is 131331222133291.

131331222133131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131331222133131 - 2¹⁷ = 131331222002059 is a prime.

It is a super-2 number, since 2×131331222133131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131331222133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17005204236 + ... + 17005211958.

It is an arithmetic number, because the mean of its divisors is an integer number (2786904364824).

Almost surely, 2^{131331222133131} is an apocalyptic number.

131331222133131 is a deficient number, since it is larger than the sum of its proper divisors (47030657215605).

131331222133131 is a wasteful number, since it uses less digits than its factorization.

131331222133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052.

The product of its digits is 5832, while the sum is 30.

The spelling of 131331222133131 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".