213120431431211 has 48 divisors (see below), whose sum is σ = 233978915036160. Its totient is φ = 193541365059840.

The previous prime is 213120431431151. The next prime is 213120431431213. The reversal of 213120431431211 is 112134134021312.

It is not a de Polignac number, because 213120431431211 - 2²⁶ = 213120364322347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213120431431213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2627928815 + ... + 2628009911.

It is an arithmetic number, because the mean of its divisors is an integer number (4874560729920).

Almost surely, 2^{213120431431211} is an apocalyptic number.

213120431431211 is a deficient number, since it is larger than the sum of its proper divisors (20858483604949).

213120431431211 is a wasteful number, since it uses less digits than its factorization.

213120431431211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82684 (or 82647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 213120431431211 its reverse (112134134021312), we get a palindrome (325254565452523).

The spelling of 213120431431211 in words is "two hundred thirteen trillion, one hundred twenty billion, four hundred thirty-one million, four hundred thirty-one thousand, two hundred eleven".