117120313 has 18 divisors (see below), whose sum is σ = 127353822. Its totient is φ = 107688960.

The previous prime is 117120271. The next prime is 117120337. The reversal of 117120313 is 313021711.

It can be written as a sum of positive squares in 3 ways, for example, as 10679824 + 106440489 = 3268^2 + 10317^2 .

It is a de Polignac number, because none of the positive numbers 2^k-117120313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117120383) 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 17 ways as a sum of consecutive naturals, for example, 606745 + ... + 606937.

Almost surely, 2^117120313 is an apocalyptic number.

It is an amenable number.

117120313 is a deficient number, since it is larger than the sum of its proper divisors (10233509).

117120313 is an equidigital number, since it uses as much as digits as its factorization.

117120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 117120313 is about 10822.2138677814. The cubic root of 117120313 is about 489.2649161255.

The spelling of 117120313 in words is "one hundred seventeen million, one hundred twenty thousand, three hundred thirteen".