1317345120 has 480 divisors, whose sum is σ = 5727129408. Its totient is φ = 277696512.

The previous prime is 1317345109. The next prime is 1317345131. The reversal of 1317345120 is 215437131.

1317345120 is a `hidden beast` number, since 1 + 317 + 345 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1317345109) and next prime (1317345131).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1178802 + ... + 1179918.

Almost surely, 2^1317345120 is an apocalyptic number.

1317345120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863564704).

1317345120 is an abundant number, since it is smaller than the sum of its proper divisors (4409784288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1317345120 is a wasteful number, since it uses less digits than its factorization.

1317345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1317345120 is about 36295.2492759039. The cubic root of 1317345120 is about 1096.2253874296.

The spelling of 1317345120 in words is "one billion, three hundred seventeen million, three hundred forty-five thousand, one hundred twenty".