20133241000 has 64 divisors (see below), whose sum is σ = 47157299280. Its totient is φ = 8045516800.

The previous prime is 20133240989. The next prime is 20133241031. The reversal of 20133241000 is 14233102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1193426116 + 18939814884 = 34546^2 + 137622^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087824 + ... + 1106176.

Almost surely, 2^20133241000 is an apocalyptic number.

20133241000 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 20133241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578649640).

20133241000 is an abundant number, since it is smaller than the sum of its proper divisors (27024058280).

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

20133241000 is a wasteful number, since it uses less digits than its factorization.

20133241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19471 (or 19457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20133241000 its reverse (14233102), we get a palindrome (20147474102).

The spelling of 20133241000 in words is "twenty billion, one hundred thirty-three million, two hundred forty-one thousand".