210133541000 has 64 divisors (see below), whose sum is σ = 492510872880. Its totient is φ = 83916940800.

The previous prime is 210133540973. The next prime is 210133541071. The reversal of 210133541000 is 145331012.

It can be written as a sum of positive squares in 8 ways, for example, as 7620940804 + 202512600196 = 87298^2 + 450014^2 .

It is a super-2 number, since 2×210133541000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446714 + ... + 787286.

Almost surely, 2^210133541000 is an apocalyptic number.

210133541000 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 210133541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246255436440).

210133541000 is an abundant number, since it is smaller than the sum of its proper divisors (282377331880).

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

210133541000 is a wasteful number, since it uses less digits than its factorization.

210133541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341211 (or 341197 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 210133541000 its reverse (145331012), we get a palindrome (210278872012).

The spelling of 210133541000 in words is "two hundred ten billion, one hundred thirty-three million, five hundred forty-one thousand".