221331230102313 has 6 divisors (see below), whose sum is σ = 319700665703354. Its totient is φ = 147554153401536.

The previous prime is 221331230102303. The next prime is 221331230102341. The reversal of 221331230102313 is 313201032133122.

221331230102313 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 312 + 30 + 1 + 0 + 2 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119831488817049 + 101499741285264 = 10946757^2 + 10074708^2 .

It is not a de Polignac number, because 221331230102313 - 2²⁴ = 221331213325097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221331230102303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12296179450120 + ... + 12296179450137.

Almost surely, 2^{221331230102313} is an apocalyptic number.

It is an amenable number.

221331230102313 is a deficient number, since it is larger than the sum of its proper divisors (98369435601041).

221331230102313 is a wasteful number, since it uses less digits than its factorization.

221331230102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24592358900263 (or 24592358900260 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221331230102313 its reverse (313201032133122), we get a palindrome (534532262235435).

The spelling of 221331230102313 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, two hundred thirty million, one hundred two thousand, three hundred thirteen".