101313121332131 has 4 divisors (see below), whose sum is σ = 102242599509600. Its totient is φ = 100383643154664.

The previous prime is 101313121332119. The next prime is 101313121332149. The reversal of 101313121332131 is 131233121313101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101313121332131 - 2³⁰ = 101312047590307 is a prime.

It is a super-2 number, since 2×101313121332131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101313121332131.

It is not an unprimeable number, because it can be changed into a prime (101313121632131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464739088571 + ... + 464739088788.

It is an arithmetic number, because the mean of its divisors is an integer number (25560649877400).

Almost surely, 2^{101313121332131} is an apocalyptic number.

101313121332131 is a deficient number, since it is larger than the sum of its proper divisors (929478177469).

101313121332131 is an equidigital number, since it uses as much as digits as its factorization.

101313121332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929478177468.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 101313121332131 its reverse (131233121313101), we get a palindrome (232546242645232).

The spelling of 101313121332131 in words is "one hundred one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-one".