901100313 has 6 divisors (see below), whose sum is σ = 1301589354. Its totient is φ = 600733536.

The previous prime is 901100311. The next prime is 901100359. The reversal of 901100313 is 313001109.

It can be written as a sum of positive squares in only one way, i.e., 818417664 + 82682649 = 28608^2 + 9093^2 .

It is not a de Polignac number, because 901100313 - 2¹ = 901100311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (901100311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50061120 + ... + 50061137.

It is an arithmetic number, because the mean of its divisors is an integer number (216931559).

Almost surely, 2^901100313 is an apocalyptic number.

It is an amenable number.

901100313 is a deficient number, since it is larger than the sum of its proper divisors (400489041).

901100313 is a wasteful number, since it uses less digits than its factorization.

901100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100122263 (or 100122260 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 901100313 is about 30018.3329483834. The cubic root of 901100313 is about 965.8826838229.

The spelling of 901100313 in words is "nine hundred one million, one hundred thousand, three hundred thirteen".