3123101313161 has 2 divisors, whose sum is σ = 3123101313162. Its totient is φ = 3123101313160.

The previous prime is 3123101313091. The next prime is 3123101313173. The reversal of 3123101313161 is 1613131013213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1657926636025 + 1465174677136 = 1287605^2 + 1210444^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123101313161 - 2¹⁸ = 3123101051017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3123101313161.

It is not a weakly prime, because it can be changed into another prime (3123101313961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561550656580 + 1561550656581.

It is an arithmetic number, because the mean of its divisors is an integer number (1561550656581).

Almost surely, 2^{3123101313161} is an apocalyptic number.

It is an amenable number.

3123101313161 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123101313161 is an equidigital number, since it uses as much as digits as its factorization.

3123101313161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 3123101313161 its reverse (1613131013213), we get a palindrome (4736232326374).

The spelling of 3123101313161 in words is "three trillion, one hundred twenty-three billion, one hundred one million, three hundred thirteen thousand, one hundred sixty-one".