109136313 has 54 divisors (see below), whose sum is σ = 187945758. Its totient is φ = 60952320.

The previous prime is 109136297. The next prime is 109136317. The reversal of 109136313 is 313631901.

109136313 is a `hidden beast` number, since 10 + 9 + 13 + 631 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 393129 + 108743184 = 627^2 + 10428^2 .

It is not a de Polignac number, because 109136313 - 2⁴ = 109136297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109136317) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 183745 + ... + 184337.

It is an arithmetic number, because the mean of its divisors is an integer number (3480477).

Almost surely, 2^109136313 is an apocalyptic number.

109136313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109136313 is a deficient number, since it is larger than the sum of its proper divisors (78809445).

109136313 is a wasteful number, since it uses less digits than its factorization.

109136313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 109136313 is about 10446.8326778981. The cubic root of 109136313 is about 477.8846628583.

The spelling of 109136313 in words is "one hundred nine million, one hundred thirty-six thousand, three hundred thirteen".