213111011331 has 24 divisors (see below), whose sum is σ = 334743537024. Its totient is φ = 130102744320.

The previous prime is 213111011291. The next prime is 213111011359. The reversal of 213111011331 is 133110111312.

213111011331 is a `hidden beast` number, since 2 + 1 + 311 + 10 + 11 + 331 = 666.

It is not a de Polignac number, because 213111011331 - 2¹⁴ = 213110994947 is a prime.

It is a super-3 number, since 3×213111011331³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (213111011231) 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, 18817075 + ... + 18828396.

It is an arithmetic number, because the mean of its divisors is an integer number (13947647376).

Almost surely, 2^213111011331 is an apocalyptic number.

213111011331 is a deficient number, since it is larger than the sum of its proper divisors (121632525693).

213111011331 is a wasteful number, since it uses less digits than its factorization.

213111011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37645531 (or 37645528 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 213111011331 its reverse (133110111312), we get a palindrome (346221122643).

The spelling of 213111011331 in words is "two hundred thirteen billion, one hundred eleven million, eleven thousand, three hundred thirty-one".