13310051040 has 576 divisors, whose sum is σ = 53941567680. Its totient is φ = 2946170880.

The previous prime is 13310051039. The next prime is 13310051047. The reversal of 13310051040 is 4015001331.

13310051040 is a `hidden beast` number, since 13 + 3 + 100 + 510 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310051047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22444984 + ... + 22445576.

It is an arithmetic number, because the mean of its divisors is an integer number (93648555).

Almost surely, 2^13310051040 is an apocalyptic number.

13310051040 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 13310051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970783840).

13310051040 is an abundant number, since it is smaller than the sum of its proper divisors (40631516640).

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

13310051040 is a wasteful number, since it uses less digits than its factorization.

13310051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13310051040 its reverse (4015001331), we get a palindrome (17325052371).

The spelling of 13310051040 in words is "thirteen billion, three hundred ten million, fifty-one thousand, forty".