3131202252001 has 2 divisors, whose sum is σ = 3131202252002. Its totient is φ = 3131202252000.

The previous prime is 3131202251993. The next prime is 3131202252007. The reversal of 3131202252001 is 1002522021313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1930696355025 + 1200505896976 = 1389495^2 + 1095676^2 .

It is an emirp because it is prime and its reverse (1002522021313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3131202252001 - 2³ = 3131202251993 is a prime.

It is a super-2 number, since 2×3131202252001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3131202252007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565601126000 + 1565601126001.

It is an arithmetic number, because the mean of its divisors is an integer number (1565601126001).

Almost surely, 2^{3131202252001} is an apocalyptic number.

It is an amenable number.

3131202252001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131202252001 is an equidigital number, since it uses as much as digits as its factorization.

3131202252001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 3131202252001 its reverse (1002522021313), we get a palindrome (4133724273314).

The spelling of 3131202252001 in words is "three trillion, one hundred thirty-one billion, two hundred two million, two hundred fifty-two thousand, one".