131383505383131 has 8 divisors (see below), whose sum is σ = 175929844119120. Its totient is φ = 87213085117952.

The previous prime is 131383505383127. The next prime is 131383505383171.

It is a happy number.

131383505383131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131383505383131 - 2² = 131383505383127 is a prime.

It is a super-2 number, since 2×131383505383131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131383505383171) 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 7 ways as a sum of consecutive naturals, for example, 93979616886 + ... + 93979618283.

It is an arithmetic number, because the mean of its divisors is an integer number (21991230514890).

Almost surely, 2^{131383505383131} is an apocalyptic number.

131383505383131 is a deficient number, since it is larger than the sum of its proper divisors (44546338735989).

131383505383131 is a wasteful number, since it uses less digits than its factorization.

131383505383131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187959235405.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 131383505383131 in words is "one hundred thirty-one trillion, three hundred eighty-three billion, five hundred five million, three hundred eighty-three thousand, one hundred thirty-one".