13303113133000 has 64 divisors (see below), whose sum is σ = 31320262321920. Its totient is φ = 5288599512000.

The previous prime is 13303113132997. The next prime is 13303113133003. The reversal of 13303113133000 is 33131130331.

13303113133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13303113132997) and next prime (13303113133003).

It is not an unprimeable number, because it can be changed into a prime (13303113133003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40644096 + ... + 40970095.

It is an arithmetic number, because the mean of its divisors is an integer number (489379098780).

Almost surely, 2^{13303113133000} is an apocalyptic number.

13303113133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303113133000 is an abundant number, since it is smaller than the sum of its proper divisors (18017149188920).

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

13303113133000 is a wasteful number, since it uses less digits than its factorization.

13303113133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81614375 (or 81614361 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13303113133000 its reverse (33131130331), we get a palindrome (13336244263331).

The spelling of 13303113133000 in words is "thirteen trillion, three hundred three billion, one hundred thirteen million, one hundred thirty-three thousand".