100557313 has 2 divisors, whose sum is σ = 100557314. Its totient is φ = 100557312.

The previous prime is 100557277. The next prime is 100557337. The reversal of 100557313 is 313755001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98644624 + 1912689 = 9932^2 + 1383^2 .

It is a cyclic number.

It is not a de Polignac number, because 100557313 - 2⁹ = 100556801 is a prime.

It is a super-2 number, since 2×100557313² = 20223546395559938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100557343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50278656 + 50278657.

It is an arithmetic number, because the mean of its divisors is an integer number (50278657).

Almost surely, 2^100557313 is an apocalyptic number.

It is an amenable number.

100557313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100557313 is an equidigital number, since it uses as much as digits as its factorization.

100557313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 100557313 is about 10027.8269330897. The cubic root of 100557313 is about 465.0195590493.

The spelling of 100557313 in words is "one hundred million, five hundred fifty-seven thousand, three hundred thirteen".