13320440133000 has 1536 divisors, whose sum is σ = 59268557537280. Its totient is φ = 2443795200000.

The previous prime is 13320440132947. The next prime is 13320440133067. The reversal of 13320440133000 is 33104402331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 483469225 + ... + 483496775.

It is an arithmetic number, because the mean of its divisors is an integer number (38586300480).

Almost surely, 2^{13320440133000} is an apocalyptic number.

13320440133000 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 13320440133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634278768640).

13320440133000 is an abundant number, since it is smaller than the sum of its proper divisors (45948117404280).

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

13320440133000 is a wasteful number, since it uses less digits than its factorization.

13320440133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27636 (or 27615 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13320440133000 its reverse (33104402331), we get a palindrome (13353544535331).

It can be divided in two parts, 133204 and 40133000, that added together give a palindrome (40266204).

The spelling of 13320440133000 in words is "thirteen trillion, three hundred twenty billion, four hundred forty million, one hundred thirty-three thousand".