101313332413 has 4 divisors (see below), whose sum is σ = 107272940220. Its totient is φ = 95353724608.

The previous prime is 101313332383. The next prime is 101313332441. The reversal of 101313332413 is 314233313101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314233313101 = 9011 ⋅34872191.

It can be written as a sum of positive squares in 2 ways, for example, as 54589051449 + 46724280964 = 233643^2 + 216158^2 .

It is not a de Polignac number, because 101313332413 - 2²⁹ = 100776461501 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 (101313332443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2979803878 + ... + 2979803911.

It is an arithmetic number, because the mean of its divisors is an integer number (26818235055).

Almost surely, 2^101313332413 is an apocalyptic number.

It is an amenable number.

101313332413 is a deficient number, since it is larger than the sum of its proper divisors (5959607807).

101313332413 is an equidigital number, since it uses as much as digits as its factorization.

101313332413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959607806.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101313332413 its reverse (314233313101), we get a palindrome (415546645514).

The spelling of 101313332413 in words is "one hundred one billion, three hundred thirteen million, three hundred thirty-two thousand, four hundred thirteen".