13003311000 has 128 divisors (see below), whose sum is σ = 40863513600. Its totient is φ = 3442492800.

The previous prime is 13003310963. The next prime is 13003311011. The reversal of 13003311000 is 11330031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401409 + ... + 432591.

It is an arithmetic number, because the mean of its divisors is an integer number (319246200).

Almost surely, 2^13003311000 is an apocalyptic number.

13003311000 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 13003311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431756800).

13003311000 is an abundant number, since it is smaller than the sum of its proper divisors (27860202600).

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

13003311000 is a wasteful number, since it uses less digits than its factorization.

13003311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31346 (or 31332 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13003311000 its reverse (11330031), we get a palindrome (13014641031).

The spelling of 13003311000 in words is "thirteen billion, three million, three hundred eleven thousand".