31101010123013 has 2 divisors, whose sum is σ = 31101010123014. Its totient is φ = 31101010123012.

The previous prime is 31101010122943. The next prime is 31101010123021. The reversal of 31101010123013 is 31032101010113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20082739816129 + 11018270306884 = 4481377^2 + 3319378^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101010123013 - 2⁸ = 31101010122757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31101010122982 and 31101010123000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31101010123063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550505061506 + 15550505061507.

It is an arithmetic number, because the mean of its divisors is an integer number (15550505061507).

Almost surely, 2^{31101010123013} is an apocalyptic number.

It is an amenable number.

31101010123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101010123013 is an equidigital number, since it uses as much as digits as its factorization.

31101010123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 31101010123013 its reverse (31032101010113), we get a palindrome (62133111133126).

The spelling of 31101010123013 in words is "thirty-one trillion, one hundred one billion, ten million, one hundred twenty-three thousand, thirteen".