312113032 has 64 divisors (see below), whose sum is σ = 737942400. Its totient is φ = 120215040.

The previous prime is 312113029. The next prime is 312113071. The reversal of 312113032 is 230311213.

It is a junction number, because it is equal to n+sod(n) for n = 312112997 and 312113015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51978 + ... + 57670.

It is an arithmetic number, because the mean of its divisors is an integer number (11530350).

Almost surely, 2^312113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368971200).

312113032 is an abundant number, since it is smaller than the sum of its proper divisors (425829368).

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

312113032 is a wasteful number, since it uses less digits than its factorization.

312113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312113032 is about 17666.7210313629. The cubic root of 312113032 is about 678.3241837164.

Adding to 312113032 its reverse (230311213), we get a palindrome (542424245).

It can be divided in two parts, 31211 and 3032, that added together give a palindrome (34243).

The spelling of 312113032 in words is "three hundred twelve million, one hundred thirteen thousand, thirty-two".