221331313213 has 2 divisors, whose sum is σ = 221331313214. Its totient is φ = 221331313212.

The previous prime is 221331313127. The next prime is 221331313243. The reversal of 221331313213 is 312313133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156877782084 + 64453531129 = 396078^2 + 253877^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331313213 - 2²⁹ = 220794442301 is a prime.

It is a super-2 number, since 2×221331313213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331313243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110665656606 + 110665656607.

It is an arithmetic number, because the mean of its divisors is an integer number (110665656607).

Almost surely, 2^221331313213 is an apocalyptic number.

It is an amenable number.

221331313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331313213 is an equidigital number, since it uses as much as digits as its factorization.

221331313213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 221331313213 its reverse (312313133122), we get a palindrome (533644446335).

The spelling of 221331313213 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred thirteen".