20202413003000 has 128 divisors (see below), whose sum is σ = 47802763008000. Its totient is φ = 7990663680000.

The previous prime is 20202413002969. The next prime is 20202413003011. The reversal of 20202413003000 is 30031420202.

It is a super-2 number, since 2×20202413003000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20202413003000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111556526 + ... + 111737474.

It is an arithmetic number, because the mean of its divisors is an integer number (373459086000).

Almost surely, 2^{20202413003000} is an apocalyptic number.

20202413003000 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 20202413003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901381504000).

20202413003000 is an abundant number, since it is smaller than the sum of its proper divisors (27600350005000).

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

20202413003000 is a wasteful number, since it uses less digits than its factorization.

20202413003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182218 (or 182204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20202413003000 its reverse (30031420202), we get a palindrome (20232444423202).

The spelling of 20202413003000 in words is "twenty trillion, two hundred two billion, four hundred thirteen million, three thousand".