13131230021000 has 512 divisors, whose sum is σ = 38627002552320. Its totient is φ = 4067301888000.

The previous prime is 13131230020999. The next prime is 13131230021009. The reversal of 13131230021000 is 12003213131.

It is a self number, because there is not a number n which added to its sum of digits gives 13131230021000.

It is not an unprimeable number, because it can be changed into a prime (13131230021009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078709842 + ... + 2078716158.

It is an arithmetic number, because the mean of its divisors is an integer number (75443364360).

Almost surely, 2^{13131230021000} is an apocalyptic number.

13131230021000 is a gapful number since it is divisible by the number (10) 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 13131230021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313501276160).

13131230021000 is an abundant number, since it is smaller than the sum of its proper divisors (25495772531320).

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

13131230021000 is a wasteful number, since it uses less digits than its factorization.

13131230021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13131230021000 its reverse (12003213131), we get a palindrome (13143233234131).

The spelling of 13131230021000 in words is "thirteen trillion, one hundred thirty-one billion, two hundred thirty million, twenty-one thousand".