131138355511 has 16 divisors (see below), whose sum is σ = 137048313600. Its totient is φ = 125323365888.

The previous prime is 131138355499. The next prime is 131138355529. The reversal of 131138355511 is 115553831131.

It is a cyclic number.

It is not a de Polignac number, because 131138355511 - 2²⁹ = 130601484599 is a prime.

It is a super-2 number, since 2×131138355511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131138355911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067066 + ... + 3109528.

It is an arithmetic number, because the mean of its divisors is an integer number (8565519600).

Almost surely, 2^131138355511 is an apocalyptic number.

131138355511 is a deficient number, since it is larger than the sum of its proper divisors (5909958089).

131138355511 is a wasteful number, since it uses less digits than its factorization.

131138355511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43578.

The product of its digits is 27000, while the sum is 37.

The spelling of 131138355511 in words is "one hundred thirty-one billion, one hundred thirty-eight million, three hundred fifty-five thousand, five hundred eleven".