20312003033000 has 256 divisors, whose sum is σ = 54636761088000. Its totient is φ = 6923574662400.

The previous prime is 20312003032967. The next prime is 20312003033017. The reversal of 20312003033000 is 33030021302.

It is a self number, because there is not a number n which added to its sum of digits gives 20312003033000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1982233877 + ... + 1982244123.

It is an arithmetic number, because the mean of its divisors is an integer number (213424848000).

Almost surely, 2^{20312003033000} is an apocalyptic number.

20312003033000 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 20312003033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318380544000).

20312003033000 is an abundant number, since it is smaller than the sum of its proper divisors (34324758055000).

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

20312003033000 is a wasteful number, since it uses less digits than its factorization.

20312003033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 20312003033000 its reverse (33030021302), we get a palindrome (20345033054302).

The spelling of 20312003033000 in words is "twenty trillion, three hundred twelve billion, three million, thirty-three thousand".