2013033151013 has 2 divisors, whose sum is σ = 2013033151014. Its totient is φ = 2013033151012.

The previous prime is 2013033150941. The next prime is 2013033151033. The reversal of 2013033151013 is 3101513303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1790760505249 + 222272645764 = 1338193^2 + 471458^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013033151013 - 2¹⁰ = 2013033149989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013033151013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013033151033) 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, 1006516575506 + 1006516575507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006516575507).

Almost surely, 2^{2013033151013} is an apocalyptic number.

It is an amenable number.

2013033151013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013033151013 is an equidigital number, since it uses as much as digits as its factorization.

2013033151013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 2013033151013 its reverse (3101513303102), we get a palindrome (5114546454115).

The spelling of 2013033151013 in words is "two trillion, thirteen billion, thirty-three million, one hundred fifty-one thousand, thirteen".