3121321131937 has 2 divisors, whose sum is σ = 3121321131938. Its totient is φ = 3121321131936.

The previous prime is 3121321131893. The next prime is 3121321131949. The reversal of 3121321131937 is 7391311231213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2371233494161 + 750087637776 = 1539881^2 + 866076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121321131937 - 2⁷ = 3121321131809 is a prime.

It is a super-2 number, since 2×3121321131937² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3121321131896 and 3121321131905.

It is not a weakly prime, because it can be changed into another prime (3121321131967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560660565968 + 1560660565969.

It is an arithmetic number, because the mean of its divisors is an integer number (1560660565969).

Almost surely, 2^{3121321131937} is an apocalyptic number.

It is an amenable number.

3121321131937 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121321131937 is an equidigital number, since it uses as much as digits as its factorization.

3121321131937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20412, while the sum is 37.

The spelling of 3121321131937 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-one thousand, nine hundred thirty-seven".