13311000 has 256 divisors, whose sum is σ = 50544000. Its totient is φ = 3225600.

The previous prime is 13310989. The next prime is 13311007. The reversal of 13311000 is 11331.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458986 + ... + 459014.

Almost surely, 2^13311000 is an apocalyptic number.

13311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272000).

13311000 is an abundant number, since it is smaller than the sum of its proper divisors (37233000).

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

13311000 is a wasteful number, since it uses less digits than its factorization.

13311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13311000 is about 3648.4243174280. The cubic root of 13311000 is about 236.9937508367.

Adding to 13311000 its reverse (11331), we get a palindrome (13322331).

The spelling of 13311000 in words is "thirteen million, three hundred eleven thousand".