13013040040 has 128 divisors (see below), whose sum is σ = 39312241920. Its totient is φ = 3744000000.

The previous prime is 13013040013. The next prime is 13013040043. The reversal of 13013040040 is 4004031031.

13013040040 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 2×13013040040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13013039996 and 13013040023.

It is not an unprimeable number, because it can be changed into a prime (13013040043) 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, 122461 + ... + 202540.

It is an arithmetic number, because the mean of its divisors is an integer number (307126890).

Almost surely, 2^13013040040 is an apocalyptic number.

13013040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013040040 is an abundant number, since it is smaller than the sum of its proper divisors (26299201880).

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

13013040040 is a wasteful number, since it uses less digits than its factorization.

13013040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325043 (or 325039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13013040040 its reverse (4004031031), we get a palindrome (17017071071).

Subtracting from 13013040040 its reverse (4004031031), we obtain a palindrome (9009009009).

The spelling of 13013040040 in words is "thirteen billion, thirteen million, forty thousand, forty".