3123131020201 has 2 divisors, whose sum is σ = 3123131020202. Its totient is φ = 3123131020200.

The previous prime is 3123131020199. The next prime is 3123131020211. The reversal of 3123131020201 is 1020201313213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1736660094976 + 1386470925225 = 1317824^2 + 1177485^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123131020201 - 2¹ = 3123131020199 is a prime.

Together with 3123131020199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3123131020211) 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, 1561565510100 + 1561565510101.

It is an arithmetic number, because the mean of its divisors is an integer number (1561565510101).

Almost surely, 2^{3123131020201} is an apocalyptic number.

It is an amenable number.

3123131020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123131020201 is an equidigital number, since it uses as much as digits as its factorization.

3123131020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3123131020201 its reverse (1020201313213), we get a palindrome (4143332333414).

The spelling of 3123131020201 in words is "three trillion, one hundred twenty-three billion, one hundred thirty-one million, twenty thousand, two hundred one".