331122302022401 has 2 divisors, whose sum is σ = 331122302022402. Its totient is φ = 331122302022400.

The previous prime is 331122302022371. The next prime is 331122302022409. The reversal of 331122302022401 is 104220203221133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250370493610000 + 80751808412401 = 15823100^2 + 8986201^2 .

It is a cyclic number.

It is not a de Polignac number, because 331122302022401 - 2³⁸ = 330847424115457 is a prime.

It is a super-2 number, since 2×331122302022401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331122302022409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561151011200 + 165561151011201.

It is an arithmetic number, because the mean of its divisors is an integer number (165561151011201).

Almost surely, 2^{331122302022401} is an apocalyptic number.

It is an amenable number.

331122302022401 is a deficient number, since it is larger than the sum of its proper divisors (1).

331122302022401 is an equidigital number, since it uses as much as digits as its factorization.

331122302022401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 331122302022401 its reverse (104220203221133), we get a palindrome (435342505243534).

The spelling of 331122302022401 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three hundred two million, twenty-two thousand, four hundred one".