321113762401 has 2 divisors, whose sum is σ = 321113762402. Its totient is φ = 321113762400.

The previous prime is 321113762393. The next prime is 321113762407. The reversal of 321113762401 is 104267311123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303354202176 + 17759560225 = 550776^2 + 133265^2 .

It is a cyclic number.

It is not a de Polignac number, because 321113762401 - 2³ = 321113762393 is a prime.

It is a super-2 number, since 2×321113762401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321113762407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556881200 + 160556881201.

It is an arithmetic number, because the mean of its divisors is an integer number (160556881201).

Almost surely, 2^321113762401 is an apocalyptic number.

It is an amenable number.

321113762401 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113762401 is an equidigital number, since it uses as much as digits as its factorization.

321113762401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 321113762401 in words is "three hundred twenty-one billion, one hundred thirteen million, seven hundred sixty-two thousand, four hundred one".