1000033120013 has 4 divisors (see below), whose sum is σ = 1000043733888. Its totient is φ = 1000022506140.

The previous prime is 1000033120007. The next prime is 1000033120063. The reversal of 1000033120013 is 3100213300001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000033120013 - 2¹⁰ = 1000033118989 is a prime.

It is a super-2 number, since 2×1000033120013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000033120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000033120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5164331 + ... + 5354472.

It is an arithmetic number, because the mean of its divisors is an integer number (250010933472).

Almost surely, 2^{1000033120013} is an apocalyptic number.

It is an amenable number.

1000033120013 is a deficient number, since it is larger than the sum of its proper divisors (10613875).

1000033120013 is an equidigital number, since it uses as much as digits as its factorization.

1000033120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613874.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1000033120013 its reverse (3100213300001), we get a palindrome (4100246420014).

The spelling of 1000033120013 in words is "one trillion, thirty-three million, one hundred twenty thousand, thirteen".