101313322332221 has 8 divisors (see below), whose sum is σ = 107432324680824. Its totient is φ = 95212030556160.

The previous prime is 101313322332217. The next prime is 101313322332259. The reversal of 101313322332221 is 122233223313101.

It can be written as a sum of positive squares in 4 ways, for example, as 4374430812196 + 96938891520025 = 2091514^2 + 9845755^2 .

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 101313322332221 - 2² = 101313322332217 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 (101313322332821) 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, 4427631350 + ... + 4427654231.

It is an arithmetic number, because the mean of its divisors is an integer number (13429040585103).

Almost surely, 2^{101313322332221} is an apocalyptic number.

It is an amenable number.

101313322332221 is a deficient number, since it is larger than the sum of its proper divisors (6119002348603).

101313322332221 is an equidigital number, since it uses as much as digits as its factorization.

101313322332221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8855286271.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 101313322332221 its reverse (122233223313101), we get a palindrome (223546545645322).

The spelling of 101313322332221 in words is "one hundred one trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty-one".