101020313057 has 2 divisors, whose sum is σ = 101020313058. Its totient is φ = 101020313056.

The previous prime is 101020313041. The next prime is 101020313111. The reversal of 101020313057 is 750313020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99804814561 + 1215498496 = 315919^2 + 34864^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020313057 - 2⁴ = 101020313041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020313027) 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, 50510156528 + 50510156529.

It is an arithmetic number, because the mean of its divisors is an integer number (50510156529).

Almost surely, 2^101020313057 is an apocalyptic number.

It is an amenable number.

101020313057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020313057 is an equidigital number, since it uses as much as digits as its factorization.

101020313057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

Adding to 101020313057 its reverse (750313020101), we get a palindrome (851333333158).

The spelling of 101020313057 in words is "one hundred one billion, twenty million, three hundred thirteen thousand, fifty-seven".