211331342313 has 288 divisors, whose sum is σ = 426645273600. Its totient is φ = 99426362112.

The previous prime is 211331342281. The next prime is 211331342317. The reversal of 211331342313 is 313243133112.

211331342313 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 1 + 342 + 313 = 666.

It is not a de Polignac number, because 211331342313 - 2⁵ = 211331342281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211331342317) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 167855878 + ... + 167857136.

It is an arithmetic number, because the mean of its divisors is an integer number (1481407200).

Almost surely, 2^211331342313 is an apocalyptic number.

211331342313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211331342313 is an abundant number, since it is smaller than the sum of its proper divisors (215313931287).

211331342313 is a wasteful number, since it uses less digits than its factorization.

211331342313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 211331342313 its reverse (313243133112), we get a palindrome (524574475425).

The spelling of 211331342313 in words is "two hundred eleven billion, three hundred thirty-one million, three hundred forty-two thousand, three hundred thirteen".