1013101310033 has 4 divisors (see below), whose sum is σ = 1013112869028. Its totient is φ = 1013089751040.

The previous prime is 1013101310027. The next prime is 1013101310041. The reversal of 1013101310033 is 3300131013101.

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 923690143744 + 89411166289 = 961088^2 + 299017^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013101310033 - 2³⁴ = 995921440849 is a prime.

It is a super-3 number, since 3×1013101310033³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013101309993 and 1013101310020.

It is not an unprimeable number, because it can be changed into a prime (1013101310063) 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, 5647016 + ... + 5823657.

It is an arithmetic number, because the mean of its divisors is an integer number (253278217257).

Almost surely, 2^{1013101310033} is an apocalyptic number.

It is an amenable number.

1013101310033 is a deficient number, since it is larger than the sum of its proper divisors (11558995).

1013101310033 is an equidigital number, since it uses as much as digits as its factorization.

1013101310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558994.

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

Adding to 1013101310033 its reverse (3300131013101), we get a palindrome (4313232323134).

The spelling of 1013101310033 in words is "one trillion, thirteen billion, one hundred one million, three hundred ten thousand, thirty-three".