322131134324401 has 2 divisors, whose sum is σ = 322131134324402. Its totient is φ = 322131134324400.

The previous prime is 322131134324221. The next prime is 322131134324437. The reversal of 322131134324401 is 104423431131223.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318203698210225 + 3927436114176 = 17838265^2 + 1981776^2 .

It is a cyclic number.

It is not a de Polignac number, because 322131134324401 - 2²¹ = 322131132227249 is a prime.

It is a super-2 number, since 2×322131134324401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (322131134324471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161065567162200 + 161065567162201.

It is an arithmetic number, because the mean of its divisors is an integer number (161065567162201).

Almost surely, 2^{322131134324401} is an apocalyptic number.

It is an amenable number.

322131134324401 is a deficient number, since it is larger than the sum of its proper divisors (1).

322131134324401 is an equidigital number, since it uses as much as digits as its factorization.

322131134324401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 322131134324401 its reverse (104423431131223), we get a palindrome (426554565455624).

The spelling of 322131134324401 in words is "three hundred twenty-two trillion, one hundred thirty-one billion, one hundred thirty-four million, three hundred twenty-four thousand, four hundred one".