2001001252013 has 2 divisors, whose sum is σ = 2001001252014. Its totient is φ = 2001001252012.

The previous prime is 2001001252009. The next prime is 2001001252021. The reversal of 2001001252013 is 3102521001002.

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., 1469557336009 + 531443916004 = 1212253^2 + 729002^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001001252013 - 2² = 2001001252009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001001251982 and 2001001252000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001001252813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000500626006 + 1000500626007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000500626007).

Almost surely, 2^{2001001252013} is an apocalyptic number.

It is an amenable number.

2001001252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001001252013 is an equidigital number, since it uses as much as digits as its factorization.

2001001252013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 2001001252013 its reverse (3102521001002), we get a palindrome (5103522253015).

The spelling of 2001001252013 in words is "two trillion, one billion, one million, two hundred fifty-two thousand, thirteen".