13110404003300 has 72 divisors (see below), whose sum is σ = 29311929744552. Its totient is φ = 5086681216000.

The previous prime is 13110404003287. The next prime is 13110404003329. The reversal of 13110404003300 is 330040401131.

It can be written as a sum of positive squares in 12 ways, for example, as 2322752787364 + 10787651215936 = 1524058^2 + 3284456^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8532491 + ... + 9951090.

It is an arithmetic number, because the mean of its divisors is an integer number (407110135341).

Almost surely, 2^{13110404003300} is an apocalyptic number.

13110404003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110404003300 is an abundant number, since it is smaller than the sum of its proper divisors (16201525741252).

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

13110404003300 is a wasteful number, since it uses less digits than its factorization.

13110404003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483809 (or 18483802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13110404003300 its reverse (330040401131), we get a palindrome (13440444404431).

The spelling of 13110404003300 in words is "thirteen trillion, one hundred ten billion, four hundred four million, three thousand, three hundred".