13311133323040 has 96 divisors (see below), whose sum is σ = 35956380781440. Its totient is φ = 4561744656384.

The previous prime is 13311133322989. The next prime is 13311133323043. The reversal of 13311133323040 is 4032333111331.

It is a super-3 number, since 3×13311133323040³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13311133323043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230085 + ... + 5164804.

It is an arithmetic number, because the mean of its divisors is an integer number (374545633140).

Almost surely, 2^{13311133323040} is an apocalyptic number.

13311133323040 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 13311133323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978190390720).

13311133323040 is an abundant number, since it is smaller than the sum of its proper divisors (22645247458400).

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

13311133323040 is a wasteful number, since it uses less digits than its factorization.

13311133323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397114 (or 5397106 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13311133323040 its reverse (4032333111331), we get a palindrome (17343466434371).

The spelling of 13311133323040 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, three hundred twenty-three thousand, forty".