1013033011013 has 4 divisors (see below), whose sum is σ = 1013197124268. Its totient is φ = 1012868897760.

The previous prime is 1013033010991. The next prime is 1013033011027. The reversal of 1013033011013 is 3101103303101.

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 318865761124 + 694167249889 = 564682^2 + 833167^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013033011013 - 2⁶ = 1013033010949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013033010982 and 1013033011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013033011063) 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, 82047368 + ... + 82059713.

It is an arithmetic number, because the mean of its divisors is an integer number (253299281067).

Almost surely, 2^{1013033011013} is an apocalyptic number.

It is an amenable number.

1013033011013 is a deficient number, since it is larger than the sum of its proper divisors (164113255).

1013033011013 is an equidigital number, since it uses as much as digits as its factorization.

1013033011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164113254.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1013033011013 its reverse (3101103303101), we get a palindrome (4114136314114).

The spelling of 1013033011013 in words is "one trillion, thirteen billion, thirty-three million, eleven thousand, thirteen".