13322313303040 has 132 divisors (see below), whose sum is σ = 37175563372716. Its totient is φ = 4567650189312.

The previous prime is 13322313303029. The next prime is 13322313303043. The reversal of 13322313303040 is 4030331322331.

It can be written as a sum of positive squares in 2 ways, for example, as 7594830480384 + 5727482822656 = 2755872^2 + 2393216^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13322313303043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26300287 + ... + 26802046.

Almost surely, 2^{13322313303040} is an apocalyptic number.

13322313303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322313303040 is an abundant number, since it is smaller than the sum of its proper divisors (23853250069676).

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

13322313303040 is an equidigital number, since it uses as much as digits as its factorization.

13322313303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53102372 (or 53102347 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13322313303040 its reverse (4030331322331), we get a palindrome (17352644625371).

The spelling of 13322313303040 in words is "thirteen trillion, three hundred twenty-two billion, three hundred thirteen million, three hundred three thousand, forty".