312132311 has 8 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 304953688.

The previous prime is 312132299. The next prime is 312132341. The reversal of 312132311 is 113231213.

312132311 = 2554² + 2555² + ... + 2600².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312132311 - 2¹⁴ = 312115927 is a prime.

It is a super-3 number, since 3×312132311³ (a number of 26 digits) contains 333 as substring.

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 312132311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22610 + ... + 33696.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^312132311 is an apocalyptic number.

312132311 is a deficient number, since it is larger than the sum of its proper divisors (7202089).

312132311 is a wasteful number, since it uses less digits than its factorization.

312132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733.

The product of its digits is 108, while the sum is 17.

The square root of 312132311 is about 17667.2666533338. The cubic root of 312132311 is about 678.3381499630.

Adding to 312132311 its reverse (113231213), we get a palindrome (425363524).

The spelling of 312132311 in words is "three hundred twelve million, one hundred thirty-two thousand, three hundred eleven".