101031332957 has 2 divisors, whose sum is σ = 101031332958. Its totient is φ = 101031332956.

The previous prime is 101031332933. The next prime is 101031333031. The reversal of 101031332957 is 759233130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91538922916 + 9492410041 = 302554^2 + 97429^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031332957 - 2⁶ = 101031332893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031332917) 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, 50515666478 + 50515666479.

It is an arithmetic number, because the mean of its divisors is an integer number (50515666479).

Almost surely, 2^101031332957 is an apocalyptic number.

It is an amenable number.

101031332957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031332957 is an equidigital number, since it uses as much as digits as its factorization.

101031332957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 35.

The spelling of 101031332957 in words is "one hundred one billion, thirty-one million, three hundred thirty-two thousand, nine hundred fifty-seven".