100692313 has 2 divisors, whose sum is σ = 100692314. Its totient is φ = 100692312.

The previous prime is 100692311. The next prime is 100692337. The reversal of 100692313 is 313296001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74097664 + 26594649 = 8608^2 + 5157^2 .

It is an emirp because it is prime and its reverse (313296001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100692313 - 2¹ = 100692311 is a prime.

Together with 100692311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100692311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50346156 + 50346157.

It is an arithmetic number, because the mean of its divisors is an integer number (50346157).

Almost surely, 2^100692313 is an apocalyptic number.

It is an amenable number.

100692313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100692313 is an equidigital number, since it uses as much as digits as its factorization.

100692313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 100692313 is about 10034.5559443356. Note that the first 3 decimals coincide. The cubic root of 100692313 is about 465.2275650317.

The spelling of 100692313 in words is "one hundred million, six hundred ninety-two thousand, three hundred thirteen".