314213130 has 96 divisors (see below), whose sum is σ = 1018562688. Its totient is φ = 65289600.

The previous prime is 314213129. The next prime is 314213131. The reversal of 314213130 is 31312413.

It is an interprime number because it is at equal distance from previous prime (314213129) and next prime (314213131).

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

It is not an unprimeable number, because it can be changed into a prime (314213131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15741 + ... + 29600.

It is an arithmetic number, because the mean of its divisors is an integer number (10610028).

Almost surely, 2^314213130 is an apocalyptic number.

314213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314213130 is an abundant number, since it is smaller than the sum of its proper divisors (704349558).

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

314213130 is a wasteful number, since it uses less digits than its factorization.

314213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45372 (or 45369 counting only the distinct ones).

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

The square root of 314213130 is about 17726.0579373983. The cubic root of 314213130 is about 679.8421851187.

Adding to 314213130 its reverse (31312413), we get a palindrome (345525543).

It can be divided in two parts, 314 and 213130, that added together give a square (213444 = 462²).

The spelling of 314213130 in words is "three hundred fourteen million, two hundred thirteen thousand, one hundred thirty".