2003012032001 has 2 divisors, whose sum is σ = 2003012032002. Its totient is φ = 2003012032000.

The previous prime is 2003012031989. The next prime is 2003012032079. The reversal of 2003012032001 is 1002302103002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1307329258225 + 695682773776 = 1143385^2 + 834076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003012032001 - 2¹⁴ = 2003012015617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003012032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001506016000 + 1001506016001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001506016001).

Almost surely, 2^{2003012032001} is an apocalyptic number.

It is an amenable number.

2003012032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003012032001 is an equidigital number, since it uses as much as digits as its factorization.

2003012032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2003012032001 its reverse (1002302103002), we get a palindrome (3005314135003).

The spelling of 2003012032001 in words is "two trillion, three billion, twelve million, thirty-two thousand, one".