13311211304000 has 56 divisors (see below), whose sum is σ = 32965214814168. Its totient is φ = 5324484518400.

The previous prime is 13311211303987. The next prime is 13311211304003. The reversal of 13311211304000 is 40311211331.

It can be written as a sum of positive squares in 4 ways, for example, as 1823558553664 + 11487652750336 = 1350392^2 + 3389344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13311211304003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831942707 + ... + 831958706.

It is an arithmetic number, because the mean of its divisors is an integer number (588664550253).

Almost surely, 2^{13311211304000} is an apocalyptic number.

13311211304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311211304000 is an abundant number, since it is smaller than the sum of its proper divisors (19654003510168).

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

13311211304000 is an equidigital number, since it uses as much as digits as its factorization.

13311211304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663901440 (or 1663901420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13311211304000 its reverse (40311211331), we get a palindrome (13351522515331).

The spelling of 13311211304000 in words is "thirteen trillion, three hundred eleven billion, two hundred eleven million, three hundred four thousand".