311613120 has 672 divisors, whose sum is σ = 1397934720. Its totient is φ = 61931520.

The previous prime is 311613103. The next prime is 311613121. The reversal of 311613120 is 21316113.

311613120 is a `hidden beast` number, since 31 + 1 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×311613120² = 194205473112268800, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 311613093 and 311613102.

It is not an unprimeable number, because it can be changed into a prime (311613121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7600300 + ... + 7600340.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^311613120 is an apocalyptic number.

311613120 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 311613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

311613120 is an abundant number, since it is smaller than the sum of its proper divisors (1086321600).

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

311613120 is a wasteful number, since it uses less digits than its factorization.

311613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

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

The square root of 311613120 is about 17652.5669521461. The cubic root of 311613120 is about 677.9618325031.

Adding to 311613120 its reverse (21316113), we get a palindrome (332929233).

The spelling of 311613120 in words is "three hundred eleven million, six hundred thirteen thousand, one hundred twenty".