311312001 has 64 divisors (see below), whose sum is σ = 564480000. Its totient is φ = 147363840.

The previous prime is 311311981. The next prime is 311312039. The reversal of 311312001 is 100213113.

It is not a de Polignac number, because 311312001 - 2¹⁰ = 311310977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311312051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248625 + ... + 249873.

It is an arithmetic number, because the mean of its divisors is an integer number (8820000).

Almost surely, 2^311312001 is an apocalyptic number.

It is an amenable number.

311312001 is a deficient number, since it is larger than the sum of its proper divisors (253167999).

311312001 is a wasteful number, since it uses less digits than its factorization.

311312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311312001 is about 17644.0358478439. The cubic root of 311312001 is about 677.7433853660.

Adding to 311312001 its reverse (100213113), we get a palindrome (411525114).

The spelling of 311312001 in words is "three hundred eleven million, three hundred twelve thousand, one".