100456313 has 2 divisors, whose sum is σ = 100456314. Its totient is φ = 100456312.

The previous prime is 100456309. The next prime is 100456327. The reversal of 100456313 is 313654001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86341264 + 14115049 = 9292^2 + 3757^2 .

It is a cyclic number.

It is not a de Polignac number, because 100456313 - 2² = 100456309 is a prime.

It is not a weakly prime, because it can be changed into another prime (100456303) 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, 50228156 + 50228157.

It is an arithmetic number, because the mean of its divisors is an integer number (50228157).

Almost surely, 2^100456313 is an apocalyptic number.

It is an amenable number.

100456313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456313 is an equidigital number, since it uses as much as digits as its factorization.

100456313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 100456313 is about 10022.7896815208. The cubic root of 100456313 is about 464.8638179851.

The spelling of 100456313 in words is "one hundred million, four hundred fifty-six thousand, three hundred thirteen".