312133014 has 48 divisors (see below), whose sum is σ = 703095120. Its totient is φ = 103926240.

The previous prime is 312133013. The next prime is 312133021. The reversal of 312133014 is 410331213.

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 (312133013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353854 + ... + 354734.

It is an arithmetic number, because the mean of its divisors is an integer number (14647815).

Almost surely, 2^312133014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312133014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351547560).

312133014 is an abundant number, since it is smaller than the sum of its proper divisors (390962106).

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

312133014 is an frugal number, since it uses more digits than its factorization.

312133014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 886 counting only the distinct ones).

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

The square root of 312133014 is about 17667.2865488733. The cubic root of 312133014 is about 678.3386592250.

Adding to 312133014 its reverse (410331213), we get a palindrome (722464227).

The spelling of 312133014 in words is "three hundred twelve million, one hundred thirty-three thousand, fourteen".