13003111040 has 32 divisors (see below), whose sum is σ = 31085563860. Its totient is φ = 5201244160.

The previous prime is 13003111013. The next prime is 13003111049. The reversal of 13003111040 is 4011130031.

It can be written as a sum of positive squares in 2 ways, for example, as 12928599616 + 74511424 = 113704^2 + 8632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×13003111040³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13003111049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10158041 + ... + 10159320.

Almost surely, 2^13003111040 is an apocalyptic number.

13003111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003111040 is an abundant number, since it is smaller than the sum of its proper divisors (18082452820).

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

13003111040 is an equidigital number, since it uses as much as digits as its factorization.

13003111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20317380 (or 20317368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13003111040 its reverse (4011130031), we get a palindrome (17014241071).

The spelling of 13003111040 in words is "thirteen billion, three million, one hundred eleven thousand, forty".