3213121310137 has 2 divisors, whose sum is σ = 3213121310138. Its totient is φ = 3213121310136.

The previous prime is 3213121310051. The next prime is 3213121310173. The reversal of 3213121310137 is 7310131213123.

Together with next prime (3213121310173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2256277372281 + 956843937856 = 1502091^2 + 978184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3213121310137 is a prime.

It is a super-2 number, since 2×3213121310137² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3213121311137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606560655068 + 1606560655069.

It is an arithmetic number, because the mean of its divisors is an integer number (1606560655069).

Almost surely, 2^{3213121310137} is an apocalyptic number.

It is an amenable number.

3213121310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213121310137 is an equidigital number, since it uses as much as digits as its factorization.

3213121310137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 3213121310137 in words is "three trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred ten thousand, one hundred thirty-seven".