20033013000 has 768 divisors, whose sum is σ = 85508317440. Its totient is φ = 3838464000.

The previous prime is 20033012939. The next prime is 20033013001. The reversal of 20033013000 is 31033002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20033013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21020524 + ... + 21021476.

It is an arithmetic number, because the mean of its divisors is an integer number (111338955).

Almost surely, 2^20033013000 is an apocalyptic number.

20033013000 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 20033013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42754158720).

20033013000 is an abundant number, since it is smaller than the sum of its proper divisors (65475304440).

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

20033013000 is a wasteful number, since it uses less digits than its factorization.

20033013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20033013000 its reverse (31033002), we get a palindrome (20064046002).

The spelling of 20033013000 in words is "twenty billion, thirty-three million, thirteen thousand".