3131122210121 has 2 divisors, whose sum is σ = 3131122210122. Its totient is φ = 3131122210120.

The previous prime is 3131122210093. The next prime is 3131122210147. The reversal of 3131122210121 is 1210122211313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3038484765625 + 92637444496 = 1743125^2 + 304364^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131122210121 - 2³⁸ = 2856244303177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131122210093 and 3131122210102.

It is not a weakly prime, because it can be changed into another prime (3131122210421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565561105060 + 1565561105061.

It is an arithmetic number, because the mean of its divisors is an integer number (1565561105061).

Almost surely, 2^{3131122210121} is an apocalyptic number.

It is an amenable number.

3131122210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131122210121 is an equidigital number, since it uses as much as digits as its factorization.

3131122210121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 3131122210121 its reverse (1210122211313), we get a palindrome (4341244421434).

The spelling of 3131122210121 in words is "three trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".