131133311009 has 54 divisors (see below), whose sum is σ = 150476875830. Its totient is φ = 114234960384.

The previous prime is 131133310981. The next prime is 131133311051. The reversal of 131133311009 is 900113331131.

It can be written as a sum of positive squares in 3 ways, for example, as 30634800784 + 100498510225 = 175028^2 + 317015^2 .

It is not a de Polignac number, because 131133311009 - 2²⁰ = 131132262433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131133311069) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 230462477 + ... + 230463045.

Almost surely, 2^131133311009 is an apocalyptic number.

131133311009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131133311009 is a deficient number, since it is larger than the sum of its proper divisors (19343564821).

131133311009 is an equidigital number, since it uses as much as digits as its factorization.

131133311009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 131133311009 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred eleven thousand, nine".