13011330000 has 400 divisors, whose sum is σ = 44486259840. Its totient is φ = 3269376000.

The previous prime is 13011329987. The next prime is 13011330011. The reversal of 13011330000 is 3311031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75209914 + ... + 75210086.

Almost surely, 2^13011330000 is an apocalyptic number.

13011330000 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 13011330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243129920).

13011330000 is an abundant number, since it is smaller than the sum of its proper divisors (31474929840).

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

13011330000 is a wasteful number, since it uses less digits than its factorization.

13011330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13011330000 its reverse (3311031), we get a palindrome (13014641031).

The spelling of 13011330000 in words is "thirteen billion, eleven million, three hundred thirty thousand".