2001013233013 has 2 divisors, whose sum is σ = 2001013233014. Its totient is φ = 2001013233012.

The previous prime is 2001013233001. The next prime is 2001013233097. The reversal of 2001013233013 is 3103323101002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1522146465009 + 478866768004 = 1233753^2 + 692002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001013233013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001013231013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506616506 + 1000506616507.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506616507).

Almost surely, 2^{2001013233013} is an apocalyptic number.

It is an amenable number.

2001013233013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001013233013 is an equidigital number, since it uses as much as digits as its factorization.

2001013233013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2001013233013 its reverse (3103323101002), we get a palindrome (5104336334015).

The spelling of 2001013233013 in words is "two trillion, one billion, thirteen million, two hundred thirty-three thousand, thirteen".