213020131311 has 64 divisors (see below), whose sum is σ = 345421319040. Its totient is φ = 128961331200.

The previous prime is 213020131271. The next prime is 213020131367. The reversal of 213020131311 is 113131020312.

213020131311 is a `hidden beast` number, since 21 + 302 + 0 + 1 + 31 + 311 = 666.

It is not a de Polignac number, because 213020131311 - 2⁷ = 213020131183 is a prime.

It is a super-3 number, since 3×213020131311³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213020131391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5546671 + ... + 5584943.

It is an arithmetic number, because the mean of its divisors is an integer number (5397208110).

Almost surely, 2^213020131311 is an apocalyptic number.

213020131311 is a deficient number, since it is larger than the sum of its proper divisors (132401187729).

213020131311 is a wasteful number, since it uses less digits than its factorization.

213020131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38553 (or 38547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213020131311 its reverse (113131020312), we get a palindrome (326151151623).

The spelling of 213020131311 in words is "two hundred thirteen billion, twenty million, one hundred thirty-one thousand, three hundred eleven".