201040403131113 has 64 divisors (see below), whose sum is σ = 339163507318272. Its totient is φ = 103075396300800.

The previous prime is 201040403131033. The next prime is 201040403131151. The reversal of 201040403131113 is 311131304040102.

It is a happy number.

It is not a de Polignac number, because 201040403131113 - 2¹⁸ = 201040402868969 is a prime.

It is a super-3 number, since 3×201040403131113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201040403131013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408513 + ... + 20056113.

It is an arithmetic number, because the mean of its divisors is an integer number (5299429801848).

Almost surely, 2^{201040403131113} is an apocalyptic number.

It is an amenable number.

201040403131113 is a deficient number, since it is larger than the sum of its proper divisors (138123104187159).

201040403131113 is a wasteful number, since it uses less digits than its factorization.

201040403131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648674.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 201040403131113 its reverse (311131304040102), we get a palindrome (512171707171215).

The spelling of 201040403131113 in words is "two hundred one trillion, forty billion, four hundred three million, one hundred thirty-one thousand, one hundred thirteen".