101310211313 has 8 divisors (see below), whose sum is σ = 103239148968. Its totient is φ = 99381919104.

The previous prime is 101310211271. The next prime is 101310211333. The reversal of 101310211313 is 313112013101.

It can be written as a sum of positive squares in 4 ways, for example, as 23272112704 + 78038098609 = 152552^2 + 279353^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101310211313 - 2²² = 101306017009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101310211291 and 101310211300.

It is not an unprimeable number, because it can be changed into a prime (101310211333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161645 + ... + 478277.

It is an arithmetic number, because the mean of its divisors is an integer number (12904893621).

Almost surely, 2^101310211313 is an apocalyptic number.

It is an amenable number.

101310211313 is a deficient number, since it is larger than the sum of its proper divisors (1928937655).

101310211313 is an equidigital number, since it uses as much as digits as its factorization.

101310211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322723.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101310211313 its reverse (313112013101), we get a palindrome (414422224414).

The spelling of 101310211313 in words is "one hundred one billion, three hundred ten million, two hundred eleven thousand, three hundred thirteen".