100417313 has 2 divisors, whose sum is σ = 100417314. Its totient is φ = 100417312.

The previous prime is 100417307. The next prime is 100417381. The reversal of 100417313 is 313714001.

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., 63170704 + 37246609 = 7948^2 + 6103^2 .

It is a cyclic number.

It is not a de Polignac number, because 100417313 - 2¹⁶ = 100351777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100417613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208656 + 50208657.

It is an arithmetic number, because the mean of its divisors is an integer number (50208657).

Almost surely, 2^100417313 is an apocalyptic number.

It is an amenable number.

100417313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100417313 is an equidigital number, since it uses as much as digits as its factorization.

100417313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 100417313 is about 10020.8439265363. The cubic root of 100417313 is about 464.8036524099.

The spelling of 100417313 in words is "one hundred million, four hundred seventeen thousand, three hundred thirteen".