13003001088 has 576 divisors, whose sum is σ = 45888159744. Its totient is φ = 3170304000.

The previous prime is 13003001083. The next prime is 13003001093. The reversal of 13003001088 is 88010030031.

It is an interprime number because it is at equal distance from previous prime (13003001083) and next prime (13003001093).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003001083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75161770 + ... + 75161942.

It is an arithmetic number, because the mean of its divisors is an integer number (79666944).

Almost surely, 2^13003001088 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 13003001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944079872).

13003001088 is an abundant number, since it is smaller than the sum of its proper divisors (32885158656).

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

13003001088 is a wasteful number, since it uses less digits than its factorization.

13003001088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 13003001088 in words is "thirteen billion, three million, one thousand, eighty-eight".