10233021332313 has 24 divisors (see below), whose sum is σ = 15918373216200. Its totient is φ = 6297109378560.

The previous prime is 10233021332309. The next prime is 10233021332353. The reversal of 10233021332313 is 31323312033201.

10233021332313 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 302 + 13 + 32 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665704232649 + 9567317099664 = 815907^2 + 3093108^2 .

It is not a de Polignac number, because 10233021332313 - 2² = 10233021332309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10233021332353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4711603 + ... + 6531863.

It is an arithmetic number, because the mean of its divisors is an integer number (663265550675).

Almost surely, 2^{10233021332313} is an apocalyptic number.

10233021332313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10233021332313 is a deficient number, since it is larger than the sum of its proper divisors (5685351883887).

10233021332313 is a wasteful number, since it uses less digits than its factorization.

10233021332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868329 (or 1868326 counting only the distinct ones).

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

Adding to 10233021332313 its reverse (31323312033201), we get a palindrome (41556333365514).

The spelling of 10233021332313 in words is "ten trillion, two hundred thirty-three billion, twenty-one million, three hundred thirty-two thousand, three hundred thirteen".