13331110133000 has 128 divisors (see below), whose sum is σ = 36032494118400. Its totient is φ = 4562518912000.

The previous prime is 13331110132997. The next prime is 13331110133009. The reversal of 13331110133000 is 33101113331.

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 (13331110133009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35457680 + ... + 35831679.

It is an arithmetic number, because the mean of its divisors is an integer number (281503860300).

Almost surely, 2^{13331110133000} is an apocalyptic number.

13331110133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331110133000 is an abundant number, since it is smaller than the sum of its proper divisors (22701383985400).

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

13331110133000 is a wasteful number, since it uses less digits than its factorization.

13331110133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71289408 (or 71289394 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13331110133000 its reverse (33101113331), we get a palindrome (13364211246331).

The spelling of 13331110133000 in words is "thirteen trillion, three hundred thirty-one billion, one hundred ten million, one hundred thirty-three thousand".