13030233100440 has 256 divisors, whose sum is σ = 39851434321920. Its totient is φ = 3407898009600.

The previous prime is 13030233100411. The next prime is 13030233100463. The reversal of 13030233100440 is 4400133203031.

13030233100440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13030233100440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628952962 + ... + 628973678.

It is an arithmetic number, because the mean of its divisors is an integer number (155669665320).

Almost surely, 2^{13030233100440} is an apocalyptic number.

13030233100440 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 13030233100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925717160960).

13030233100440 is an abundant number, since it is smaller than the sum of its proper divisors (26821201221480).

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

13030233100440 is a wasteful number, since it uses less digits than its factorization.

13030233100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21322 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13030233100440 its reverse (4400133203031), we get a palindrome (17430366303471).

The spelling of 13030233100440 in words is "thirteen trillion, thirty billion, two hundred thirty-three million, one hundred thousand, four hundred forty".