311342130 has 160 divisors (see below), whose sum is σ = 926468928. Its totient is φ = 74390400.

The previous prime is 311342123. The next prime is 311342137. The reversal of 311342130 is 31243113.

311342130 is a `hidden beast` number, since 311 + 342 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (311342123) and next prime (311342137).

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 (311342137) 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 79 ways as a sum of consecutive naturals, for example, 739320 + ... + 739740.

Almost surely, 2^311342130 is an apocalyptic number.

311342130 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 311342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463234464).

311342130 is an abundant number, since it is smaller than the sum of its proper divisors (615126798).

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

311342130 is a wasteful number, since it uses less digits than its factorization.

311342130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

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

The square root of 311342130 is about 17644.8896284448. The cubic root of 311342130 is about 677.7652488253.

Adding to 311342130 its reverse (31243113), we get a palindrome (342585243).

The spelling of 311342130 in words is "three hundred eleven million, three hundred forty-two thousand, one hundred thirty".