131505456511 has 32 divisors (see below), whose sum is σ = 156552480000. Its totient is φ = 108890369280.

The previous prime is 131505456463. The next prime is 131505456541. The reversal of 131505456511 is 115654505131.

It is not a de Polignac number, because 131505456511 - 2²³ = 131497067903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131505456541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6340420 + ... + 6361126.

It is an arithmetic number, because the mean of its divisors is an integer number (4892265000).

Almost surely, 2^131505456511 is an apocalyptic number.

131505456511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131505456511 is a deficient number, since it is larger than the sum of its proper divisors (25047023489).

131505456511 is a wasteful number, since it uses less digits than its factorization.

131505456511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21319.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 131505456511 in words is "one hundred thirty-one billion, five hundred five million, four hundred fifty-six thousand, five hundred eleven".