13023233021331 has 64 divisors (see below), whose sum is σ = 21552261068800. Its totient is φ = 7720685828352.

The previous prime is 13023233021329. The next prime is 13023233021371. The reversal of 13023233021331 is 13312033232031.

13023233021331 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 23 + 302 + 1 + 331 = 666.

It is not a de Polignac number, because 13023233021331 - 2¹ = 13023233021329 is a prime.

It is a super-2 number, since 2×13023233021331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13023233021295 and 13023233021304.

It is not an unprimeable number, because it can be changed into a prime (13023233021371) 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 63 ways as a sum of consecutive naturals, for example, 4808251 + ... + 7011828.

It is an arithmetic number, because the mean of its divisors is an integer number (336754079200).

Almost surely, 2^{13023233021331} is an apocalyptic number.

13023233021331 is a deficient number, since it is larger than the sum of its proper divisors (8529028047469).

13023233021331 is a wasteful number, since it uses less digits than its factorization.

13023233021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11820217 (or 11820211 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13023233021331 its reverse (13312033232031), we get a palindrome (26335266253362).

The spelling of 13023233021331 in words is "thirteen trillion, twenty-three billion, two hundred thirty-three million, twenty-one thousand, three hundred thirty-one".