131013133330101 has 32 divisors (see below), whose sum is σ = 190958824512000. Its totient is φ = 79237641739200.

The previous prime is 131013133330007. The next prime is 131013133330103. The reversal of 131013133330101 is 101033331310131.

It is not a de Polignac number, because 131013133330101 - 2¹⁰ = 131013133329077 is a prime.

It is a super-2 number, since 2×131013133330101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013133330103) 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, 261954211 + ... + 262453871.

It is an arithmetic number, because the mean of its divisors is an integer number (5967463266000).

Almost surely, 2^{131013133330101} is an apocalyptic number.

131013133330101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131013133330101 is a deficient number, since it is larger than the sum of its proper divisors (59945691181899).

131013133330101 is a wasteful number, since it uses less digits than its factorization.

131013133330101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516097.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 131013133330101 its reverse (101033331310131), we get a palindrome (232046464640232).

The spelling of 131013133330101 in words is "one hundred thirty-one trillion, thirteen billion, one hundred thirty-three million, three hundred thirty thousand, one hundred one".