13113331000 has 192 divisors, whose sum is σ = 38941624800. Its totient is φ = 4087104000.

The previous prime is 13113330991. The next prime is 13113331003. The reversal of 13113331000 is 13331131.

13113331000 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 2×13113331000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113331003) 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 47 ways as a sum of consecutive naturals, for example, 526836 + ... + 551164.

Almost surely, 2^13113331000 is an apocalyptic number.

13113331000 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 13113331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19470812400).

13113331000 is an abundant number, since it is smaller than the sum of its proper divisors (25828293800).

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

13113331000 is a wasteful number, since it uses less digits than its factorization.

13113331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24375 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13113331000 its reverse (13331131), we get a palindrome (13126662131).

The spelling of 13113331000 in words is "thirteen billion, one hundred thirteen million, three hundred thirty-one thousand".