313161120 has 192 divisors, whose sum is σ = 1112590080. Its totient is φ = 82252800.

The previous prime is 313161103. The next prime is 313161127. The reversal of 313161120 is 21161313.

313161120 is a `hidden beast` number, since 3 + 1 + 31 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313161093 and 313161102.

It is not an unprimeable number, because it can be changed into a prime (313161127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306210 + ... + 307230.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^313161120 is an apocalyptic number.

313161120 is a gapful number since it is divisible by the number (30) 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 313161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556295040).

313161120 is an abundant number, since it is smaller than the sum of its proper divisors (799428960).

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

313161120 is a wasteful number, since it uses less digits than its factorization.

313161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 313161120 is about 17696.3589475349. The cubic root of 313161120 is about 679.0826152817.

The spelling of 313161120 in words is "three hundred thirteen million, one hundred sixty-one thousand, one hundred twenty".