1010033013013 has 4 divisors (see below), whose sum is σ = 1010035081420. Its totient is φ = 1010030944608.

The previous prime is 1010033012993. The next prime is 1010033013043. The reversal of 1010033013013 is 3103103300101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 788698519569 + 221334493444 = 888087^2 + 470462^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010033013013 - 2²⁹ = 1009496142101 is a prime.

It is a super-2 number, since 2×1010033013013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010033013043) 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 3 ways as a sum of consecutive naturals, for example, 151081 + ... + 1429297.

It is an arithmetic number, because the mean of its divisors is an integer number (252508770355).

Almost surely, 2^{1010033013013} is an apocalyptic number.

It is an amenable number.

1010033013013 is a deficient number, since it is larger than the sum of its proper divisors (2068407).

1010033013013 is an equidigital number, since it uses as much as digits as its factorization.

1010033013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068406.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1010033013013 its reverse (3103103300101), we get a palindrome (4113136313114).

The spelling of 1010033013013 in words is "one trillion, ten billion, thirty-three million, thirteen thousand, thirteen".