13031300040 has 128 divisors (see below), whose sum is σ = 42955315200. Its totient is φ = 3136331520.

The previous prime is 13031300011. The next prime is 13031300053. The reversal of 13031300040 is 4000313031.

13031300040 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 (15).

It is a junction number, because it is equal to n+sod(n) for n = 13031299992 and 13031300019.

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, 147969 + ... + 218991.

It is an arithmetic number, because the mean of its divisors is an integer number (335588400).

Almost surely, 2^13031300040 is an apocalyptic number.

13031300040 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 13031300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477657600).

13031300040 is an abundant number, since it is smaller than the sum of its proper divisors (29924015160).

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

13031300040 is a wasteful number, since it uses less digits than its factorization.

13031300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71187 (or 71183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13031300040 its reverse (4000313031), we get a palindrome (17031613071).

The spelling of 13031300040 in words is "thirteen billion, thirty-one million, three hundred thousand, forty".