312312133 has 16 divisors (see below), whose sum is σ = 371980800. Its totient is φ = 261986928.

The previous prime is 312312103. The next prime is 312312157. The reversal of 312312133 is 331213213.

It is not a de Polignac number, because 312312133 - 2⁹ = 312311621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6435 + ... + 25807.

It is an arithmetic number, because the mean of its divisors is an integer number (23248800).

Almost surely, 2^312312133 is an apocalyptic number.

It is an amenable number.

312312133 is a deficient number, since it is larger than the sum of its proper divisors (59668667).

312312133 is an equidigital number, since it uses as much as digits as its factorization.

312312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441 (or 19427 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 312312133 is about 17672.3550496248. The cubic root of 312312133 is about 678.4683903572.

Adding to 312312133 its reverse (331213213), we get a palindrome (643525346).

It can be divided in two parts, 312312 and 133, that added together give a triangular number (312445 = T₇₉₀).

The spelling of 312312133 in words is "three hundred twelve million, three hundred twelve thousand, one hundred thirty-three".