314133120 has 512 divisors, whose sum is σ = 1321920000. Its totient is φ = 70447104.

The previous prime is 314133119. The next prime is 314133121. The reversal of 314133120 is 21331413.

314133120 is a `hidden beast` number, since 314 + 1 + 331 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (314133119) and next prime (314133121).

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 = 314133093 and 314133102.

It is not an unprimeable number, because it can be changed into a prime (314133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927014 + ... + 5927066.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^314133120 is an apocalyptic number.

314133120 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 314133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

314133120 is an abundant number, since it is smaller than the sum of its proper divisors (1007786880).

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

314133120 is an equidigital number, since it uses as much as digits as its factorization.

314133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 314133120 is about 17723.8009467495. The cubic root of 314133120 is about 679.7844761036.

Adding to 314133120 its reverse (21331413), we get a palindrome (335464533).

The spelling of 314133120 in words is "three hundred fourteen million, one hundred thirty-three thousand, one hundred twenty".