13203113040 has 480 divisors, whose sum is σ = 49916805120. Its totient is φ = 3105091584.

The previous prime is 13203113023. The next prime is 13203113051. The reversal of 13203113040 is 4031130231.

13203113040 is a `hidden beast` number, since 1 + 320 + 311 + 30 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34472689 + ... + 34473071.

It is an arithmetic number, because the mean of its divisors is an integer number (103993344).

Almost surely, 2^13203113040 is an apocalyptic number.

13203113040 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 13203113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958402560).

13203113040 is an abundant number, since it is smaller than the sum of its proper divisors (36713692080).

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

13203113040 is a wasteful number, since it uses less digits than its factorization.

13203113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13203113040 its reverse (4031130231), we get a palindrome (17234243271).

The spelling of 13203113040 in words is "thirteen billion, two hundred three million, one hundred thirteen thousand, forty".