312131430 has 144 divisors (see below), whose sum is σ = 923635440. Its totient is φ = 72690048.

The previous prime is 312131399. The next prime is 312131431. The reversal of 312131430 is 34131213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422001 + ... + 422739.

It is an arithmetic number, because the mean of its divisors is an integer number (6414135).

Almost surely, 2^312131430 is an apocalyptic number.

312131430 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 312131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461817720).

312131430 is an abundant number, since it is smaller than the sum of its proper divisors (611504010).

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

312131430 is a wasteful number, since it uses less digits than its factorization.

312131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 781 counting only the distinct ones).

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

The square root of 312131430 is about 17667.2417202007. The cubic root of 312131430 is about 678.3375117545.

Adding to 312131430 its reverse (34131213), we get a palindrome (346262643).

The spelling of 312131430 in words is "three hundred twelve million, one hundred thirty-one thousand, four hundred thirty".