100617313 has 2 divisors, whose sum is σ = 100617314. Its totient is φ = 100617312.

The previous prime is 100617263. The next prime is 100617329. The reversal of 100617313 is 313716001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77845329 + 22771984 = 8823^2 + 4772^2 .

It is a cyclic number.

It is not a de Polignac number, because 100617313 - 2²¹ = 98520161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100617383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50308656 + 50308657.

It is an arithmetic number, because the mean of its divisors is an integer number (50308657).

Almost surely, 2^100617313 is an apocalyptic number.

It is an amenable number.

100617313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100617313 is an equidigital number, since it uses as much as digits as its factorization.

100617313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 100617313 is about 10030.8181620444. The cubic root of 100617313 is about 465.1120291218.

The spelling of 100617313 in words is "one hundred million, six hundred seventeen thousand, three hundred thirteen".