211310404013112 has 16 divisors (see below), whose sum is σ = 528276010032840. Its totient is φ = 70436801337696.

The previous prime is 211310404013069. The next prime is 211310404013147.

211310404013112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8804600167213 = 211310404013112 / (2 + 1 + 1 + 3 + 1 + 0 + 4 + 0 + 4 + 0 + 1 + 3 + 1 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4402300083583 + ... + 4402300083630.

Almost surely, 2^{211310404013112} is an apocalyptic number.

It is an amenable number.

211310404013112 is an abundant number, since it is smaller than the sum of its proper divisors (316965606019728).

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

211310404013112 is a wasteful number, since it uses less digits than its factorization.

211310404013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804600167222 (or 8804600167218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21131040 and 4013112, that added together give a palindrome (25144152).

The spelling of 211310404013112 in words is "two hundred eleven trillion, three hundred ten billion, four hundred four million, thirteen thousand, one hundred twelve".