13111331000 has 64 divisors (see below), whose sum is σ = 30741984000. Its totient is φ = 5234025600.

The previous prime is 13111330997. The next prime is 13111331041. The reversal of 13111331000 is 13311131.

It is a happy number.

13111331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13111331000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 496121 + ... + 521879.

It is an arithmetic number, because the mean of its divisors is an integer number (480343500).

Almost surely, 2^13111331000 is an apocalyptic number.

13111331000 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 13111331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370992000).

13111331000 is an abundant number, since it is smaller than the sum of its proper divisors (17630653000).

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

13111331000 is a wasteful number, since it uses less digits than its factorization.

13111331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26289 (or 26275 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13111331000 its reverse (13311131), we get a palindrome (13124642131).

The spelling of 13111331000 in words is "thirteen billion, one hundred eleven million, three hundred thirty-one thousand".