213133313112 has 32 divisors (see below), whose sum is σ = 532866450480. Its totient is φ = 71040015360.

The previous prime is 213133313093. The next prime is 213133313117. The reversal of 213133313112 is 211313331312.

213133313112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213133313112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213133313117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129348 + ... + 665580.

Almost surely, 2^213133313112 is an apocalyptic number.

It is an amenable number.

213133313112 is an abundant number, since it is smaller than the sum of its proper divisors (319733137368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213133313112 is a wasteful number, since it uses less digits than its factorization.

213133313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552803 (or 552799 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 213133313112 its reverse (211313331312), we get a palindrome (424446644424).

The spelling of 213133313112 in words is "two hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twelve".