13330233021013 has 16 divisors (see below), whose sum is σ = 13467954720816. Its totient is φ = 13193242583040.

The previous prime is 13330233020983. The next prime is 13330233021023. The reversal of 13330233021013 is 31012033203331.

It can be written as a sum of positive squares in 8 ways, for example, as 3469584233124 + 9860648787889 = 1862682^2 + 3140167^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330233021013 - 2¹³ = 13330233012821 is a prime.

It is a super-4 number, since 4×13330233021013⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330233021023) 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, 66781245 + ... + 66980557.

It is an arithmetic number, because the mean of its divisors is an integer number (841747170051).

Almost surely, 2^{13330233021013} is an apocalyptic number.

It is an amenable number.

13330233021013 is a deficient number, since it is larger than the sum of its proper divisors (137721699803).

13330233021013 is a wasteful number, since it uses less digits than its factorization.

13330233021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201144.

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

Adding to 13330233021013 its reverse (31012033203331), we get a palindrome (44342266224344).

The spelling of 13330233021013 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-three million, twenty-one thousand, thirteen".