311372130 has 64 divisors (see below), whose sum is σ = 775733760. Its totient is φ = 79892736.

The previous prime is 311372077. The next prime is 311372141. The reversal of 311372130 is 31273113.

It is a junction number, because it is equal to n+sod(n) for n = 311372097 and 311372106.

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 31 ways as a sum of consecutive naturals, for example, 402424 + ... + 403196.

It is an arithmetic number, because the mean of its divisors is an integer number (12120840).

Almost surely, 2^311372130 is an apocalyptic number.

311372130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311372130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387866880).

311372130 is an abundant number, since it is smaller than the sum of its proper divisors (464361630).

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

311372130 is a wasteful number, since it uses less digits than its factorization.

311372130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 311372130 is about 17645.7397124632. The cubic root of 311372130 is about 677.7870172728.

The spelling of 311372130 in words is "three hundred eleven million, three hundred seventy-two thousand, one hundred thirty".