101013322313 has 4 divisors (see below), whose sum is σ = 101014268160. Its totient is φ = 101012376468.

The previous prime is 101013322171. The next prime is 101013322321. The reversal of 101013322313 is 313223310101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101013322313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101013322343) 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, 288845 + ... + 534282.

It is an arithmetic number, because the mean of its divisors is an integer number (25253567040).

Almost surely, 2^101013322313 is an apocalyptic number.

It is an amenable number.

101013322313 is a deficient number, since it is larger than the sum of its proper divisors (945847).

101013322313 is an equidigital number, since it uses as much as digits as its factorization.

101013322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945846.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101013322313 its reverse (313223310101), we get a palindrome (414236632414).

The spelling of 101013322313 in words is "one hundred one billion, thirteen million, three hundred twenty-two thousand, three hundred thirteen".