13213328892048 has 30 divisors (see below), whose sum is σ = 36978969052454. Its totient is φ = 4404442963968.

The previous prime is 13213328892031. The next prime is 13213328892089. The reversal of 13213328892048 is 84029882331231.

13213328892048 is a `hidden beast` number, since 1 + 3 + 21 + 332 + 8 + 89 + 204 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7638214567824 + 5575114324224 = 2763732^2 + 2361168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13213328891985 and 13213328892003.

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 5 ways as a sum of consecutive naturals, for example, 45879614065 + ... + 45879614352.

Almost surely, 2^{13213328892048} is an apocalyptic number.

13213328892048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13213328892048 is an abundant number, since it is smaller than the sum of its proper divisors (23765640160406).

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

13213328892048 is a wasteful number, since it uses less digits than its factorization.

13213328892048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91759228431 (or 91759228422 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13213328892048 in words is "thirteen trillion, two hundred thirteen billion, three hundred twenty-eight million, eight hundred ninety-two thousand, forty-eight".