13009113540 has 120 divisors (see below), whose sum is σ = 40921382040. Its totient is φ = 3459635712.

The previous prime is 13009113529. The next prime is 13009113547. The reversal of 13009113540 is 4531190031.

13009113540 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 9 + 113 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 328551876 + 12680561664 = 18126^2 + 112608^2 .

It is a super-2 number, since 2×13009113540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13009113547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 593496 + ... + 615024.

It is an arithmetic number, because the mean of its divisors is an integer number (341011517).

Almost surely, 2^13009113540 is an apocalyptic number.

13009113540 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 13009113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460691020).

13009113540 is an abundant number, since it is smaller than the sum of its proper divisors (27912268500).

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

13009113540 is a wasteful number, since it uses less digits than its factorization.

13009113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13009113540 in words is "thirteen billion, nine million, one hundred thirteen thousand, five hundred forty".