13321102167288 has 40 divisors (see below), whose sum is σ = 37311420424080. Its totient is φ = 4440367388880.

The previous prime is 13321102167287. The next prime is 13321102167341. The reversal of 13321102167288 is 88276120112331.

13321102167288 is a `hidden beast` number, since 1 + 332 + 1 + 10 + 21 + 6 + 7 + 288 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321102167287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10278627568 + ... + 10278628863.

It is an arithmetic number, because the mean of its divisors is an integer number (932785510602).

Almost surely, 2^{13321102167288} is an apocalyptic number.

13321102167288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13321102167288 is an abundant number, since it is smaller than the sum of its proper divisors (23990318256792).

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

13321102167288 is a wasteful number, since it uses less digits than its factorization.

13321102167288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20557256449 (or 20557256436 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13321102167288 in words is "thirteen trillion, three hundred twenty-one billion, one hundred two million, one hundred sixty-seven thousand, two hundred eighty-eight".