211431400113 has 16 divisors (see below), whose sum is σ = 301174872320. Its totient is φ = 131542549776.

The previous prime is 211431400091. The next prime is 211431400121. The reversal of 211431400113 is 311004134112.

It is not a de Polignac number, because 211431400113 - 2¹² = 211431396017 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 211431400113.

It is not an unprimeable number, because it can be changed into a prime (211431400183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27677695 + ... + 27685332.

It is an arithmetic number, because the mean of its divisors is an integer number (18823429520).

Almost surely, 2^211431400113 is an apocalyptic number.

It is an amenable number.

211431400113 is a deficient number, since it is larger than the sum of its proper divisors (89743472207).

211431400113 is a wasteful number, since it uses less digits than its factorization.

211431400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55363116.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211431400113 its reverse (311004134112), we get a palindrome (522435534225).

The spelling of 211431400113 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thousand, one hundred thirteen".