213120313111233 has 24 divisors (see below), whose sum is σ = 335853295011936. Its totient is φ = 129153308020800.

The previous prime is 213120313111159. The next prime is 213120313111241. The reversal of 213120313111233 is 332111313021312.

213120313111233 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 0 + 313 + 111 + 233 = 666.

It is not a de Polignac number, because 213120313111233 - 2¹⁰ = 213120313110209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120313111197 and 213120313111206.

It is not an unprimeable number, because it can be changed into a prime (213120313110233) 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, 86428935 + ... + 88860572.

It is an arithmetic number, because the mean of its divisors is an integer number (13993887292164).

Almost surely, 2^{213120313111233} is an apocalyptic number.

It is an amenable number.

213120313111233 is a deficient number, since it is larger than the sum of its proper divisors (122732981900703).

213120313111233 is a wasteful number, since it uses less digits than its factorization.

213120313111233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175301805 (or 175301802 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 213120313111233 its reverse (332111313021312), we get a palindrome (545231626132545).

The spelling of 213120313111233 in words is "two hundred thirteen trillion, one hundred twenty billion, three hundred thirteen million, one hundred eleven thousand, two hundred thirty-three".