101321031301213 has 8 divisors (see below), whose sum is σ = 104146313028408. Its totient is φ = 98529585283584.

The previous prime is 101321031301187. The next prime is 101321031301219. The reversal of 101321031301213 is 312103130123101.

It can be written as a sum of positive squares in 4 ways, for example, as 16216753162009 + 85104278139204 = 4027003^2 + 9225198^2 .

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 101321031301213 - 2²⁵ = 101320997746781 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 (101321031301219) 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, 8458921320 + ... + 8458933297.

It is an arithmetic number, because the mean of its divisors is an integer number (13018289128551).

Almost surely, 2^{101321031301213} is an apocalyptic number.

It is an amenable number.

101321031301213 is a deficient number, since it is larger than the sum of its proper divisors (2825281727195).

101321031301213 is a wasteful number, since it uses less digits than its factorization.

101321031301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16917854783.

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

Adding to 101321031301213 its reverse (312103130123101), we get a palindrome (413424161424314).

The spelling of 101321031301213 in words is "one hundred one trillion, three hundred twenty-one billion, thirty-one million, three hundred one thousand, two hundred thirteen".