101321220110013 has 12 divisors (see below), whose sum is σ = 146543189332540. Its totient is φ = 67459641993216.

The previous prime is 101321220109943. The next prime is 101321220110081. The reversal of 101321220110013 is 310011022123101.

101321220110013 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 220 + 110 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14404438721124 + 86916781388889 = 3795318^2 + 9322917^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101321220110013 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 (101321220110093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7319832706 + ... + 7319846547.

Almost surely, 2^{101321220110013} is an apocalyptic number.

It is an amenable number.

101321220110013 is a deficient number, since it is larger than the sum of its proper divisors (45221969222527).

101321220110013 is a wasteful number, since it uses less digits than its factorization.

101321220110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639680028 (or 14639680025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101321220110013 its reverse (310011022123101), we get a palindrome (411332242233114).

The spelling of 101321220110013 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, thirteen".