13335381887500 has 72 divisors (see below), whose sum is σ = 30437511187104. Its totient is φ = 5102232960000.

The previous prime is 13335381887479. The next prime is 13335381887521. The reversal of 13335381887500 is 578818353331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13335381887479) and next prime (13335381887521).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 22904469 + ... + 23479468.

It is an arithmetic number, because the mean of its divisors is an integer number (422743210932).

Almost surely, 2^{13335381887500} is an apocalyptic number.

13335381887500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13335381887500 is an abundant number, since it is smaller than the sum of its proper divisors (17102129299604).

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

13335381887500 is an equidigital number, since it uses as much as digits as its factorization.

13335381887500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46383989 (or 46383967 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 13335381887500 in words is "thirteen trillion, three hundred thirty-five billion, three hundred eighty-one million, eight hundred eighty-seven thousand, five hundred".