13311313331000 has 64 divisors (see below), whose sum is σ = 31179224306880. Its totient is φ = 5319268732800.

The previous prime is 13311313330963. The next prime is 13311313331003. The reversal of 13311313331000 is 13331311331.

It is a super-2 number, since 2×13311313331000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311313331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5557244 + ... + 7583243.

It is an arithmetic number, because the mean of its divisors is an integer number (487175379795).

Almost surely, 2^{13311313331000} is an apocalyptic number.

13311313331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311313331000 is an abundant number, since it is smaller than the sum of its proper divisors (17867910975880).

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

13311313331000 is a wasteful number, since it uses less digits than its factorization.

13311313331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141521 (or 13141507 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13311313331000 its reverse (13331311331), we get a palindrome (13324644642331).

The spelling of 13311313331000 in words is "thirteen trillion, three hundred eleven billion, three hundred thirteen million, three hundred thirty-one thousand".