13023031000 has 128 divisors (see below), whose sum is σ = 34880376960. Its totient is φ = 4458240000.

The previous prime is 13023030991. The next prime is 13023031013. The reversal of 13023031000 is 13032031.

13023031000 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 2×13023031000² (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 31 ways as a sum of consecutive naturals, for example, 7230100 + ... + 7231900.

It is an arithmetic number, because the mean of its divisors is an integer number (272502945).

Almost surely, 2^13023031000 is an apocalyptic number.

13023031000 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 13023031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440188480).

13023031000 is an abundant number, since it is smaller than the sum of its proper divisors (21857345960).

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

13023031000 is a wasteful number, since it uses less digits than its factorization.

13023031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13023031000 its reverse (13032031), we get a palindrome (13036063031).

The spelling of 13023031000 in words is "thirteen billion, twenty-three million, thirty-one thousand".