13451353303040 has 96 divisors (see below), whose sum is σ = 32302449564840. Its totient is φ = 5376026345472.

The previous prime is 13451353302983. The next prime is 13451353303123. The reversal of 13451353303040 is 4030335315431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7342625833984 + 6108727469056 = 2709728^2 + 2471584^2 .

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 7 ways as a sum of consecutive naturals, for example, 11665772 + ... + 12766868.

Almost surely, 2^{13451353303040} is an apocalyptic number.

13451353303040 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 13451353303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151224782420).

13451353303040 is an abundant number, since it is smaller than the sum of its proper divisors (18851096261800).

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

13451353303040 is a wasteful number, since it uses less digits than its factorization.

13451353303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102317 (or 1102297 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 13451353303040 its reverse (4030335315431), we get a palindrome (17481688618471).

The spelling of 13451353303040 in words is "thirteen trillion, four hundred fifty-one billion, three hundred fifty-three million, three hundred three thousand, forty".