211301431131213 has 24 divisors (see below), whose sum is σ = 307965554114400. Its totient is φ = 139602246003360.

The previous prime is 211301431131191. The next prime is 211301431131253. The reversal of 211301431131213 is 312131134103112.

211301431131213 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 1 + 431 + 13 + 1 + 213 = 666.

211301431131213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-211301431131213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301431131253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205843923 + ... + 206867888.

It is an arithmetic number, because the mean of its divisors is an integer number (12831898088100).

Almost surely, 2^{211301431131213} is an apocalyptic number.

It is an amenable number.

211301431131213 is a deficient number, since it is larger than the sum of its proper divisors (96664122983187).

211301431131213 is a wasteful number, since it uses less digits than its factorization.

211301431131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412712329 (or 412712326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 211301431131213 its reverse (312131134103112), we get a palindrome (523432565234325).

The spelling of 211301431131213 in words is "two hundred eleven trillion, three hundred one billion, four hundred thirty-one million, one hundred thirty-one thousand, two hundred thirteen".