20130241011000 has 512 divisors, whose sum is σ = 67477381171200. Its totient is φ = 4981201920000.

The previous prime is 20130241010963. The next prime is 20130241011053. The reversal of 20130241011000 is 11014203102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837944989 + ... + 837969011.

It is an arithmetic number, because the mean of its divisors is an integer number (131791760100).

Almost surely, 2^{20130241011000} is an apocalyptic number.

20130241011000 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 20130241011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33738690585600).

20130241011000 is an abundant number, since it is smaller than the sum of its proper divisors (47347140160200).

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

20130241011000 is a wasteful number, since it uses less digits than its factorization.

20130241011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24368 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20130241011000 its reverse (11014203102), we get a palindrome (20141255214102).

The spelling of 20130241011000 in words is "twenty trillion, one hundred thirty billion, two hundred forty-one million, eleven thousand".