13141288992 has 48 divisors (see below), whose sum is σ = 37149416640. Its totient is φ = 4043473152.

The previous prime is 13141288921. The next prime is 13141289003. The reversal of 13141288992 is 29988214131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5263692 + ... + 5266187.

It is an arithmetic number, because the mean of its divisors is an integer number (773946180).

Almost surely, 2^13141288992 is an apocalyptic number.

13141288992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13141288992 is an abundant number, since it is smaller than the sum of its proper divisors (24008127648).

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

13141288992 is a wasteful number, since it uses less digits than its factorization.

13141288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529905 (or 10529897 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 13141288992 in words is "thirteen billion, one hundred forty-one million, two hundred eighty-eight thousand, nine hundred ninety-two".