13001333040 has 240 divisors, whose sum is σ = 45277030656. Its totient is φ = 3339878400.

The previous prime is 13001333039. The next prime is 13001333047. The reversal of 13001333040 is 4033310031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13001333047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5377912 + ... + 5380328.

Almost surely, 2^13001333040 is an apocalyptic number.

13001333040 is a gapful number since it is divisible by the number (10) 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 13001333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638515328).

13001333040 is an abundant number, since it is smaller than the sum of its proper divisors (32275697616).

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

13001333040 is a wasteful number, since it uses less digits than its factorization.

13001333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13001333040 its reverse (4033310031), we get a palindrome (17034643071).

The spelling of 13001333040 in words is "thirteen billion, one million, three hundred thirty-three thousand, forty".