13321003300040 has 32 divisors (see below), whose sum is σ = 30037842274680. Its totient is φ = 5316741791232.

The previous prime is 13321003300027. The next prime is 13321003300069. The reversal of 13321003300040 is 4000330012331.

It can be written as a sum of positive squares in 4 ways, for example, as 8529308568004 + 4791694732036 = 2920498^2 + 2188994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13321003299985 and 13321003300021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364341767 + ... + 364378326.

Almost surely, 2^{13321003300040} is an apocalyptic number.

13321003300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321003300040 is an abundant number, since it is smaller than the sum of its proper divisors (16716838974640).

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

13321003300040 is a wasteful number, since it uses less digits than its factorization.

13321003300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728720561 (or 728720557 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13321003300040 its reverse (4000330012331), we get a palindrome (17321333312371).

The spelling of 13321003300040 in words is "thirteen trillion, three hundred twenty-one billion, three million, three hundred thousand, forty".