13320311312988 has 96 divisors (see below), whose sum is σ = 34801094845440. Its totient is φ = 4405787568000.

The previous prime is 13320311312951. The next prime is 13320311312993. The reversal of 13320311312988 is 88921311302331.

13320311312988 is a `hidden beast` number, since 1 + 3 + 320 + 3 + 1 + 1 + 31 + 298 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 170316973 + ... + 170395163.

It is an arithmetic number, because the mean of its divisors is an integer number (362511404640).

Almost surely, 2^{13320311312988} is an apocalyptic number.

13320311312988 is a gapful number since it is divisible by the number (18) 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 13320311312988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400547422720).

13320311312988 is an abundant number, since it is smaller than the sum of its proper divisors (21480783532452).

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

13320311312988 is a wasteful number, since it uses less digits than its factorization.

13320311312988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90376 (or 90368 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13320311312988 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, three hundred twelve thousand, nine hundred eighty-eight".