2003112311201 has 32 divisors (see below), whose sum is σ = 2214621246240. Its totient is φ = 1803730636800.

The previous prime is 2003112311147. The next prime is 2003112311273. The reversal of 2003112311201 is 1021132113002.

It can be written as a sum of positive squares in 16 ways, for example, as 33022158400 + 1970090152801 = 181720^2 + 1403599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2003112311201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003112311201.

It is not an unprimeable number, because it can be changed into a prime (2003112311281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 199091711 + ... + 199101771.

It is an arithmetic number, because the mean of its divisors is an integer number (69206913945).

Almost surely, 2^{2003112311201} is an apocalyptic number.

It is an amenable number.

2003112311201 is a deficient number, since it is larger than the sum of its proper divisors (211508935039).

2003112311201 is a wasteful number, since it uses less digits than its factorization.

2003112311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15365.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2003112311201 its reverse (1021132113002), we get a palindrome (3024244424203).

The spelling of 2003112311201 in words is "two trillion, three billion, one hundred twelve million, three hundred eleven thousand, two hundred one".