13201113040 has 80 divisors (see below), whose sum is σ = 30889875600. Its totient is φ = 5246631936.

The previous prime is 13201113011. The next prime is 13201113073. The reversal of 13201113040 is 4031110231.

It can be written as a sum of positive squares in 8 ways, for example, as 1860496 + 13199252544 = 1364^2 + 114888^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10240716 + ... + 10242004.

It is an arithmetic number, because the mean of its divisors is an integer number (386123445).

Almost surely, 2^13201113040 is an apocalyptic number.

13201113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201113040 is an abundant number, since it is smaller than the sum of its proper divisors (17688762560).

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

13201113040 is a wasteful number, since it uses less digits than its factorization.

13201113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13201113040 its reverse (4031110231), we get a palindrome (17232223271).

The spelling of 13201113040 in words is "thirteen billion, two hundred one million, one hundred thirteen thousand, forty".