312010133013311 has 16 divisors (see below), whose sum is σ = 328732921036800. Its totient is φ = 295317522864000.

The previous prime is 312010133013301. The next prime is 312010133013317. The reversal of 312010133013311 is 113310331010213.

It is a cyclic number.

It is not a de Polignac number, because 312010133013311 - 2¹⁸ = 312010132751167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312010133013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195140711 + ... + 196733111.

It is an arithmetic number, because the mean of its divisors is an integer number (20545807564800).

Almost surely, 2^{312010133013311} is an apocalyptic number.

312010133013311 is a deficient number, since it is larger than the sum of its proper divisors (16722788023489).

312010133013311 is a wasteful number, since it uses less digits than its factorization.

312010133013311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601870.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 312010133013311 its reverse (113310331010213), we get a palindrome (425320464023524).

The spelling of 312010133013311 in words is "three hundred twelve trillion, ten billion, one hundred thirty-three million, thirteen thousand, three hundred eleven".