13187202641088 has 336 divisors, whose sum is σ = 41319546012000. Its totient is φ = 3700399718400.

The previous prime is 13187202641069. The next prime is 13187202641099. The reversal of 13187202641088 is 88014620278131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 13187202641088.

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 47 ways as a sum of consecutive naturals, for example, 124706638 + ... + 124812338.

Almost surely, 2^{13187202641088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13187202641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20659773006000).

13187202641088 is an abundant number, since it is smaller than the sum of its proper divisors (28132343370912).

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

13187202641088 is a wasteful number, since it uses less digits than its factorization.

13187202641088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105968 (or 105951 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 13187202641088 in words is "thirteen trillion, one hundred eighty-seven billion, two hundred two million, six hundred forty-one thousand, eighty-eight".