13031301000 has 128 divisors (see below), whose sum is σ = 40803984000. Its totient is φ = 3462508800.

The previous prime is 13031300927. The next prime is 13031301001. The reversal of 13031301000 is 10313031.

13031301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13031301001) 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 31 ways as a sum of consecutive naturals, for example, 841326 + ... + 856674.

It is an arithmetic number, because the mean of its divisors is an integer number (318781125).

Almost surely, 2^13031301000 is an apocalyptic number.

13031301000 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 13031301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401992000).

13031301000 is an abundant number, since it is smaller than the sum of its proper divisors (27772683000).

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

13031301000 is a wasteful number, since it uses less digits than its factorization.

13031301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15656 (or 15642 counting only the distinct ones).

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

Adding to 13031301000 its reverse (10313031), we get a palindrome (13041614031).

The spelling of 13031301000 in words is "thirteen billion, thirty-one million, three hundred one thousand".