213013120333 has 16 divisors (see below), whose sum is σ = 242919187056. Its totient is φ = 185041059840.

The previous prime is 213013120289. The next prime is 213013120339. The reversal of 213013120333 is 333021310312.

It can be written as a sum of positive squares in 8 ways, for example, as 1204228804 + 211808891529 = 34702^2 + 460227^2 .

It is not a de Polignac number, because 213013120333 - 2²⁵ = 212979565901 is a prime.

It is a super-2 number, since 2×213013120333² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013120339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2205373 + ... + 2299933.

It is an arithmetic number, because the mean of its divisors is an integer number (15182449191).

Almost surely, 2^213013120333 is an apocalyptic number.

It is an amenable number.

213013120333 is a deficient number, since it is larger than the sum of its proper divisors (29906066723).

213013120333 is a wasteful number, since it uses less digits than its factorization.

213013120333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104784.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 213013120333 its reverse (333021310312), we get a palindrome (546034430645).

The spelling of 213013120333 in words is "two hundred thirteen billion, thirteen million, one hundred twenty thousand, three hundred thirty-three".