131333132232133 has 16 divisors (see below), whose sum is σ = 144890875105200. Its totient is φ = 118269214801920.

The previous prime is 131333132232103. The next prime is 131333132232167. The reversal of 131333132232133 is 331232231333131.

It can be written as a sum of positive squares in 8 ways, for example, as 36128189912929 + 95204942319204 = 6010673^2 + 9757302^2 .

It is not a de Polignac number, because 131333132232133 - 2²⁵ = 131333098677701 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 (131333132232103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9268653 + ... + 18670141.

It is an arithmetic number, because the mean of its divisors is an integer number (9055679694075).

Almost surely, 2^{131333132232133} is an apocalyptic number.

131333132232133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131333132232133 is a deficient number, since it is larger than the sum of its proper divisors (13557742873067).

131333132232133 is a wasteful number, since it uses less digits than its factorization.

131333132232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427752.

The product of its digits is 52488, while the sum is 34.

Adding to 131333132232133 its reverse (331232231333131), we get a palindrome (462565363565264).

The spelling of 131333132232133 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirty-two million, two hundred thirty-two thousand, one hundred thirty-three".