13133001440 has 96 divisors (see below), whose sum is σ = 34044113376. Its totient is φ = 4757575680.

The previous prime is 13133001433. The next prime is 13133001463. The reversal of 13133001440 is 4410033131.

It is a super-3 number, since 3×13133001440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 50675 + ... + 169805.

It is an arithmetic number, because the mean of its divisors is an integer number (354626181).

Almost surely, 2^13133001440 is an apocalyptic number.

13133001440 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 13133001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022056688).

13133001440 is an abundant number, since it is smaller than the sum of its proper divisors (20911111936).

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

13133001440 is a wasteful number, since it uses less digits than its factorization.

13133001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119212 (or 119204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13133001440 its reverse (4410033131), we get a palindrome (17543034571).

The spelling of 13133001440 in words is "thirteen billion, one hundred thirty-three million, one thousand, four hundred forty".