233301213313201 has 64 divisors (see below), whose sum is σ = 262159107194880. Its totient is φ = 205855836480000.

The previous prime is 233301213313169. The next prime is 233301213313213. The reversal of 233301213313201 is 102313312103332.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 233301213313201 - 2⁵ = 233301213313169 is a prime.

It is a super-2 number, since 2×233301213313201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233301213313201.

It is not an unprimeable number, because it can be changed into a prime (233301213313801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4138205725 + ... + 4138262101.

It is an arithmetic number, because the mean of its divisors is an integer number (4096236049920).

Almost surely, 2^{233301213313201} is an apocalyptic number.

It is an amenable number.

233301213313201 is a deficient number, since it is larger than the sum of its proper divisors (28857893881679).

233301213313201 is a wasteful number, since it uses less digits than its factorization.

233301213313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56966.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 233301213313201 its reverse (102313312103332), we get a palindrome (335614525416533).

The spelling of 233301213313201 in words is "two hundred thirty-three trillion, three hundred one billion, two hundred thirteen million, three hundred thirteen thousand, two hundred one".