101321221013213 has 4 divisors (see below), whose sum is σ = 101321241200220. Its totient is φ = 101321200826208.

The previous prime is 101321221013141. The next prime is 101321221013249. The reversal of 101321221013213 is 312310122123101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 61818009928249 + 39503211084964 = 7862443^2 + 6285158^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321221013213 - 2¹⁶ = 101321220947677 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 (101321221013513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3926681 + ... + 14766897.

It is an arithmetic number, because the mean of its divisors is an integer number (25330310300055).

Almost surely, 2^{101321221013213} is an apocalyptic number.

It is an amenable number.

101321221013213 is a deficient number, since it is larger than the sum of its proper divisors (20187007).

101321221013213 is an equidigital number, since it uses as much as digits as its factorization.

101321221013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187006.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101321221013213 its reverse (312310122123101), we get a palindrome (413631343136314).

The spelling of 101321221013213 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-one million, thirteen thousand, two hundred thirteen".