131435337327 has 144 divisors (see below), whose sum is σ = 230509450080. Its totient is φ = 66174603264.

The previous prime is 131435337311. The next prime is 131435337331. The reversal of 131435337327 is 723733534131.

It is a happy number.

It is not a de Polignac number, because 131435337327 - 2⁴ = 131435337311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435337127) 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 143 ways as a sum of consecutive naturals, for example, 80289553 + ... + 80291189.

It is an arithmetic number, because the mean of its divisors is an integer number (1600760070).

Almost surely, 2^131435337327 is an apocalyptic number.

131435337327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

131435337327 is a deficient number, since it is larger than the sum of its proper divisors (99074112753).

131435337327 is a wasteful number, since it uses less digits than its factorization.

131435337327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1772 counting only the distinct ones).

The product of its digits is 476280, while the sum is 42.

The spelling of 131435337327 in words is "one hundred thirty-one billion, four hundred thirty-five million, three hundred thirty-seven thousand, three hundred twenty-seven".