100053313 has 8 divisors (see below), whose sum is σ = 106112808. Its totient is φ = 94013184.

The previous prime is 100053301. The next prime is 100053329. The reversal of 100053313 is 313350001.

It can be written as a sum of positive squares in 4 ways, for example, as 13786369 + 86266944 = 3713^2 + 9288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100053313 - 2¹⁷ = 99922241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100053383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6595 + ... + 15607.

It is an arithmetic number, because the mean of its divisors is an integer number (13264101).

Almost surely, 2^100053313 is an apocalyptic number.

It is an amenable number.

100053313 is a deficient number, since it is larger than the sum of its proper divisors (6059495).

100053313 is an equidigital number, since it uses as much as digits as its factorization.

100053313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 100053313 is about 10002.6652948102. The cubic root of 100053313 is about 464.2413543823.

The spelling of 100053313 in words is "one hundred million, fifty-three thousand, three hundred thirteen".