101231321113013 has 36 divisors (see below), whose sum is σ = 127742993450820. Its totient is φ = 79951310240256.

The previous prime is 101231321113001. The next prime is 101231321113019. The reversal of 101231321113013 is 310311123132101.

It can be written as a sum of positive squares in 6 ways, for example, as 68386581865924 + 32844739247089 = 8269618^2 + 5731033^2 .

It is not a de Polignac number, because 101231321113013 - 2¹⁰ = 101231321111989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101231321113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231321113019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6361028 + ... + 15586061.

It is an arithmetic number, because the mean of its divisors is an integer number (3548416484745).

Almost surely, 2^{101231321113013} is an apocalyptic number.

101231321113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101231321113013 is a deficient number, since it is larger than the sum of its proper divisors (26511672337807).

101231321113013 is a wasteful number, since it uses less digits than its factorization.

101231321113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21947686 (or 21947666 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101231321113013 its reverse (310311123132101), we get a palindrome (411542444245114).

The spelling of 101231321113013 in words is "one hundred one trillion, two hundred thirty-one billion, three hundred twenty-one million, one hundred thirteen thousand, thirteen".