13115303040 has 256 divisors, whose sum is σ = 48944528640. Its totient is φ = 2924544000.

The previous prime is 13115303023. The next prime is 13115303051. The reversal of 13115303040 is 4030351131.

It is a super-2 number, since 2×13115303040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13115302998 and 13115303016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539140 + ... + 562940.

It is an arithmetic number, because the mean of its divisors is an integer number (191189565).

Almost surely, 2^13115303040 is an apocalyptic number.

13115303040 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 13115303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472264320).

13115303040 is an abundant number, since it is smaller than the sum of its proper divisors (35829225600).

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

13115303040 is a wasteful number, since it uses less digits than its factorization.

13115303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23871 (or 23859 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13115303040 its reverse (4030351131), we get a palindrome (17145654171).

The spelling of 13115303040 in words is "thirteen billion, one hundred fifteen million, three hundred three thousand, forty".