20131530000000 has 512 divisors, whose sum is σ = 67016219063040. Its totient is φ = 5354496000000.

The previous prime is 20131529999963. The next prime is 20131530000091. The reversal of 20131530000000 is 3513102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17309999419 + ... + 17310000581.

Almost surely, 2^{20131530000000} is an apocalyptic number.

20131530000000 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 20131530000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508109531520).

20131530000000 is an abundant number, since it is smaller than the sum of its proper divisors (46884689063040).

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

20131530000000 is an frugal number, since it uses more digits than its factorization.

20131530000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 20131530000000 its reverse (3513102), we get a palindrome (20131533513102).

The spelling of 20131530000000 in words is "twenty trillion, one hundred thirty-one billion, five hundred thirty million", and thus it is an aban number.