20131243133300 has 576 divisors, whose sum is σ = 50423390196480. Its totient is φ = 6923541381120.

The previous prime is 20131243133161. The next prime is 20131243133303. The reversal of 20131243133300 is 333134213102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20131243133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131243133303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36803003627 + ... + 36803004173.

It is an arithmetic number, because the mean of its divisors is an integer number (87540607980).

Almost surely, 2^{20131243133300} is an apocalyptic number.

20131243133300 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 20131243133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25211695098240).

20131243133300 is an abundant number, since it is smaller than the sum of its proper divisors (30292147063180).

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

20131243133300 is a wasteful number, since it uses less digits than its factorization.

20131243133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 20131243133300 its reverse (333134213102), we get a palindrome (20464377346402).

The spelling of 20131243133300 in words is "twenty trillion, one hundred thirty-one billion, two hundred forty-three million, one hundred thirty-three thousand, three hundred".