13003311100000 has 144 divisors (see below), whose sum is σ = 34459698094416. Its totient is φ = 4801222080000.

The previous prime is 13003311099973. The next prime is 13003311100019. The reversal of 13003311100000 is 111330031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3701274 + ... + 6301273.

It is an arithmetic number, because the mean of its divisors is an integer number (239303458989).

Almost surely, 2^{13003311100000} is an apocalyptic number.

13003311100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003311100000 is an abundant number, since it is smaller than the sum of its proper divisors (21456386994416).

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

13003311100000 is an equidigital number, since it uses as much as digits as its factorization.

13003311100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002595 (or 10002567 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13003311100000 its reverse (111330031), we get a palindrome (13003422430031).

The spelling of 13003311100000 in words is "thirteen trillion, three billion, three hundred eleven million, one hundred thousand".