100013302957 has 2 divisors, whose sum is σ = 100013302958. Its totient is φ = 100013302956.

The previous prime is 100013302951. The next prime is 100013302967. The reversal of 100013302957 is 759203310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65201579716 + 34811723241 = 255346^2 + 186579^2 .

It is an emirp because it is prime and its reverse (759203310001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013302957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013302951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006651478 + 50006651479.

It is an arithmetic number, because the mean of its divisors is an integer number (50006651479).

Almost surely, 2^100013302957 is an apocalyptic number.

It is an amenable number.

100013302957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013302957 is an equidigital number, since it uses as much as digits as its factorization.

100013302957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 31.

Adding to 100013302957 its reverse (759203310001), we get a palindrome (859216612958).

The spelling of 100013302957 in words is "one hundred billion, thirteen million, three hundred two thousand, nine hundred fifty-seven".