3123210313129 has 2 divisors, whose sum is σ = 3123210313130. Its totient is φ = 3123210313128.

The previous prime is 3123210313127. The next prime is 3123210313141. The reversal of 3123210313129 is 9213130123213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2602140003225 + 521070309904 = 1613115^2 + 721852^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123210313129 - 2¹ = 3123210313127 is a prime.

Together with 3123210313127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3123210313129.

It is not a weakly prime, because it can be changed into another prime (3123210313123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561605156564 + 1561605156565.

It is an arithmetic number, because the mean of its divisors is an integer number (1561605156565).

Almost surely, 2^{3123210313129} is an apocalyptic number.

It is an amenable number.

3123210313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123210313129 is an equidigital number, since it uses as much as digits as its factorization.

3123210313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 3123210313129 in words is "three trillion, one hundred twenty-three billion, two hundred ten million, three hundred thirteen thousand, one hundred twenty-nine".