101310310313 has 4 divisors (see below), whose sum is σ = 101333566980. Its totient is φ = 101287053648.

The previous prime is 101310310301. The next prime is 101310310319. The reversal of 101310310313 is 313013013101.

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

It can be written as a sum of positive squares in 2 ways, for example, as 101268423529 + 41886784 = 318227^2 + 6472^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310310313 - 2⁶ = 101310310249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101310310291 and 101310310300.

It is not an unprimeable number, because it can be changed into a prime (101310310319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11621798 + ... + 11630511.

It is an arithmetic number, because the mean of its divisors is an integer number (25333391745).

Almost surely, 2^101310310313 is an apocalyptic number.

It is an amenable number.

101310310313 is a deficient number, since it is larger than the sum of its proper divisors (23256667).

101310310313 is an equidigital number, since it uses as much as digits as its factorization.

101310310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23256666.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101310310313 its reverse (313013013101), we get a palindrome (414323323414).

The spelling of 101310310313 in words is "one hundred one billion, three hundred ten million, three hundred ten thousand, three hundred thirteen".