221331313001 has 2 divisors, whose sum is σ = 221331313002. Its totient is φ = 221331313000.

The previous prime is 221331312941. The next prime is 221331313019. The reversal of 221331313001 is 100313133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208775886400 + 12555426601 = 456920^2 + 112051^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331313001 - 2¹⁰ = 221331311977 is a prime.

It is a super-2 number, since 2×221331313001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221331313081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110665656500 + 110665656501.

It is an arithmetic number, because the mean of its divisors is an integer number (110665656501).

Almost surely, 2^221331313001 is an apocalyptic number.

It is an amenable number.

221331313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331313001 is an equidigital number, since it uses as much as digits as its factorization.

221331313001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 221331313001 its reverse (100313133122), we get a palindrome (321644446123).

The spelling of 221331313001 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred thirteen thousand, one".