13331240145312 has 48 divisors (see below), whose sum is σ = 34996490393760. Its totient is φ = 4443494650112.

The previous prime is 13331240145263. The next prime is 13331240145329. The reversal of 13331240145312 is 21354104213331.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233458 + ... + 5625905.

It is an arithmetic number, because the mean of its divisors is an integer number (729093549870).

Almost surely, 2^{13331240145312} is an apocalyptic number.

13331240145312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331240145312 is an abundant number, since it is smaller than the sum of its proper divisors (21665250248448).

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

13331240145312 is a wasteful number, since it uses less digits than its factorization.

13331240145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877045 (or 7877037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 13331240145312 its reverse (21354104213331), we get a palindrome (34685344358643).

The spelling of 13331240145312 in words is "thirteen trillion, three hundred thirty-one billion, two hundred forty million, one hundred forty-five thousand, three hundred twelve".