3131220441253 has 2 divisors, whose sum is σ = 3131220441254. Its totient is φ = 3131220441252.

The previous prime is 3131220441211. The next prime is 3131220441259. The reversal of 3131220441253 is 3521440221313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3126255406884 + 4965034369 = 1768122^2 + 70463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131220441253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131220441259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565610220626 + 1565610220627.

It is an arithmetic number, because the mean of its divisors is an integer number (1565610220627).

Almost surely, 2^{3131220441253} is an apocalyptic number.

It is an amenable number.

3131220441253 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131220441253 is an equidigital number, since it uses as much as digits as its factorization.

3131220441253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 3131220441253 its reverse (3521440221313), we get a palindrome (6652660662566).

The spelling of 3131220441253 in words is "three trillion, one hundred thirty-one billion, two hundred twenty million, four hundred forty-one thousand, two hundred fifty-three".