213042133120 has 128 divisors (see below), whose sum is σ = 531859530240. Its totient is φ = 81448587264.

The previous prime is 213042133091. The next prime is 213042133123. The reversal of 213042133120 is 21331240312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 213042133091 and 213042133100.

It is not an unprimeable number, because it can be changed into a prime (213042133123) 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, 21883774 + ... + 21893506.

It is an arithmetic number, because the mean of its divisors is an integer number (4155152580).

Almost surely, 2^213042133120 is an apocalyptic number.

213042133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213042133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265929765120).

213042133120 is an abundant number, since it is smaller than the sum of its proper divisors (318817397120).

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

213042133120 is a wasteful number, since it uses less digits than its factorization.

213042133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11250 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213042133120 its reverse (21331240312), we get a palindrome (234373373432).

The spelling of 213042133120 in words is "two hundred thirteen billion, forty-two million, one hundred thirty-three thousand, one hundred twenty".