233000121013313 has 2 divisors, whose sum is σ = 233000121013314. Its totient is φ = 233000121013312.

The previous prime is 233000121013291. The next prime is 233000121013339. The reversal of 233000121013313 is 313310121000332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201370205107009 + 31629915906304 = 14190497^2 + 5624048^2 .

It is a cyclic number.

It is not a de Polignac number, because 233000121013313 - 2¹⁰ = 233000121012289 is a prime.

It is not a weakly prime, because it can be changed into another prime (233000121013393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116500060506656 + 116500060506657.

It is an arithmetic number, because the mean of its divisors is an integer number (116500060506657).

Almost surely, 2^{233000121013313} is an apocalyptic number.

It is an amenable number.

233000121013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233000121013313 is an equidigital number, since it uses as much as digits as its factorization.

233000121013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 233000121013313 its reverse (313310121000332), we get a palindrome (546310242013645).

The spelling of 233000121013313 in words is "two hundred thirty-three trillion, one hundred twenty-one million, thirteen thousand, three hundred thirteen".