211412313 has 36 divisors (see below), whose sum is σ = 356346900. Its totient is φ = 120427776.

The previous prime is 211412293. The next prime is 211412329. The reversal of 211412313 is 313214112.

It can be written as a sum of positive squares in 2 ways, for example, as 187470864 + 23941449 = 13692^2 + 4893^2 .

It is not a de Polignac number, because 211412313 - 2¹² = 211408217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211412353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201013 + ... + 202061.

It is an arithmetic number, because the mean of its divisors is an integer number (9898525).

Almost surely, 2^211412313 is an apocalyptic number.

It is an amenable number.

211412313 is a deficient number, since it is larger than the sum of its proper divisors (144934587).

211412313 is a wasteful number, since it uses less digits than its factorization.

211412313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 211412313 is about 14540.0245185488. The cubic root of 211412313 is about 595.7217078690.

Adding to 211412313 its reverse (313214112), we get a palindrome (524626425).

The spelling of 211412313 in words is "two hundred eleven million, four hundred twelve thousand, three hundred thirteen".