11413133040 has 80 divisors (see below), whose sum is σ = 35460908928. Its totient is φ = 3036603648.

The previous prime is 11413133027. The next prime is 11413133099. The reversal of 11413133040 is 4033131411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11413132998 and 11413133016.

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, 52647 + ... + 159993.

Almost surely, 2^11413133040 is an apocalyptic number.

11413133040 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 11413133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730454464).

11413133040 is an abundant number, since it is smaller than the sum of its proper divisors (24047775888).

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

11413133040 is a wasteful number, since it uses less digits than its factorization.

11413133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107806 (or 107800 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11413133040 its reverse (4033131411), we get a palindrome (15446264451).

It can be divided in two parts, 11413 and 133040, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 11413133040 in words is "eleven billion, four hundred thirteen million, one hundred thirty-three thousand, forty".