331131131202253 has 2 divisors, whose sum is σ = 331131131202254. Its totient is φ = 331131131202252.

The previous prime is 331131131202103. The next prime is 331131131202269. The reversal of 331131131202253 is 352202131131133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221071162245444 + 110059968956809 = 14868462^2 + 10490947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331131131202253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331131131202953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565565601126 + 165565565601127.

It is an arithmetic number, because the mean of its divisors is an integer number (165565565601127).

Almost surely, 2^{331131131202253} is an apocalyptic number.

It is an amenable number.

331131131202253 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131131202253 is an equidigital number, since it uses as much as digits as its factorization.

331131131202253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 331131131202253 its reverse (352202131131133), we get a palindrome (683333262333386).

The spelling of 331131131202253 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred two thousand, two hundred fifty-three".