2033033113213 has 16 divisors (see below), whose sum is σ = 2091441003120. Its totient is φ = 1975062528000.

The previous prime is 2033033113201. The next prime is 2033033113217. The reversal of 2033033113213 is 3123113303302.

It can be written as a sum of positive squares in 8 ways, for example, as 16755231364 + 2016277881849 = 129442^2 + 1419957^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033033113213 - 2¹³ = 2033033105021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033033113217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9379303 + ... + 9593611.

It is an arithmetic number, because the mean of its divisors is an integer number (130715062695).

Almost surely, 2^{2033033113213} is an apocalyptic number.

It is an amenable number.

2033033113213 is a deficient number, since it is larger than the sum of its proper divisors (58407889907).

2033033113213 is a wasteful number, since it uses less digits than its factorization.

2033033113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215328.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 2033033113213 its reverse (3123113303302), we get a palindrome (5156146416515).

The spelling of 2033033113213 in words is "two trillion, thirty-three billion, thirty-three million, one hundred thirteen thousand, two hundred thirteen".