13331505088 has 252 divisors, whose sum is σ = 31778051760. Its totient is φ = 5533552640.

The previous prime is 13331505071. The next prime is 13331505107. The reversal of 13331505088 is 88050513331.

It is a super-2 number, since 2×13331505088² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149792148 + ... + 149792236.

It is an arithmetic number, because the mean of its divisors is an integer number (126103380).

Almost surely, 2^13331505088 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 13331505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889025880).

13331505088 is an abundant number, since it is smaller than the sum of its proper divisors (18446546672).

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

13331505088 is a wasteful number, since it uses less digits than its factorization.

13331505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 13331505088 in words is "thirteen billion, three hundred thirty-one million, five hundred five thousand, eighty-eight".