210133012320 has 1920 divisors, whose sum is σ = 973714452480. Its totient is φ = 41420574720.

The previous prime is 210133012283. The next prime is 210133012451. The reversal of 210133012320 is 23210331012.

210133012320 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 330 + 12 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210133012293 and 210133012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2531722999 + ... + 2531723081.

It is an arithmetic number, because the mean of its divisors is an integer number (507142944).

Almost surely, 2^210133012320 is an apocalyptic number.

210133012320 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 210133012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486857226240).

210133012320 is an abundant number, since it is smaller than the sum of its proper divisors (763581440160).

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

210133012320 is a wasteful number, since it uses less digits than its factorization.

210133012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210133012320 its reverse (23210331012), we get a palindrome (233343343332).

The spelling of 210133012320 in words is "two hundred ten billion, one hundred thirty-three million, twelve thousand, three hundred twenty".