13321001333040 has 80 divisors (see below), whose sum is σ = 41444184137568. Its totient is φ = 3539442935808.

The previous prime is 13321001333011. The next prime is 13321001333191. The reversal of 13321001333040 is 4033310012331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13321001333040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100121557 + ... + 100254516.

Almost surely, 2^{13321001333040} is an apocalyptic number.

13321001333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321001333040 is an abundant number, since it is smaller than the sum of its proper divisors (28123182804528).

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

13321001333040 is a wasteful number, since it uses less digits than its factorization.

13321001333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200376366 (or 200376360 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13321001333040 its reverse (4033310012331), we get a palindrome (17354311345371).

The spelling of 13321001333040 in words is "thirteen trillion, three hundred twenty-one billion, one million, three hundred thirty-three thousand, forty".