101313202313101 has 16 divisors (see below), whose sum is σ = 102506421004416. Its totient is φ = 100123749000000.

The previous prime is 101313202313053. The next prime is 101313202313111.

101313202313101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101313202313101 - 2²⁹ = 101312665442189 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 (101313202313111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570911856 + ... + 571089286.

It is an arithmetic number, because the mean of its divisors is an integer number (6406651312776).

Almost surely, 2^{101313202313101} is an apocalyptic number.

It is an amenable number.

101313202313101 is a deficient number, since it is larger than the sum of its proper divisors (1193218691315).

101313202313101 is a wasteful number, since it uses less digits than its factorization.

101313202313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188004.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 10131320 and 2313101, that added together give a palindrome (12444421).

The spelling of 101313202313101 in words is "one hundred one trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, one hundred one".