13341006288 has 80 divisors (see below), whose sum is σ = 38404416960. Its totient is φ = 4434136704.

The previous prime is 13341006253. The next prime is 13341006317. The reversal of 13341006288 is 88260014331.

13341006288 is a `hidden beast` number, since 13 + 3 + 4 + 10 + 0 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105406 + ... + 194402.

It is an arithmetic number, because the mean of its divisors is an integer number (480055212).

Almost surely, 2^13341006288 is an apocalyptic number.

13341006288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341006288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202208480).

13341006288 is an abundant number, since it is smaller than the sum of its proper divisors (25063410672).

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

13341006288 is a wasteful number, since it uses less digits than its factorization.

13341006288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89361 (or 89349 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13341006288 in words is "thirteen billion, three hundred forty-one million, six thousand, two hundred eighty-eight".