221321213121713 has 2 divisors, whose sum is σ = 221321213121714. Its totient is φ = 221321213121712.

The previous prime is 221321213121703. The next prime is 221321213121751. The reversal of 221321213121713 is 317121312123122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221215290862864 + 105922258849 = 14873308^2 + 325457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221321213121713 is a prime.

It is a super-2 number, since 2×221321213121713² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221321213121713.

It is not a weakly prime, because it can be changed into another prime (221321213121703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110660606560856 + 110660606560857.

It is an arithmetic number, because the mean of its divisors is an integer number (110660606560857).

Almost surely, 2^{221321213121713} is an apocalyptic number.

It is an amenable number.

221321213121713 is a deficient number, since it is larger than the sum of its proper divisors (1).

221321213121713 is an equidigital number, since it uses as much as digits as its factorization.

221321213121713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

Adding to 221321213121713 its reverse (317121312123122), we get a palindrome (538442525244835).

The spelling of 221321213121713 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, two hundred thirteen million, one hundred twenty-one thousand, seven hundred thirteen".