233212010313 has 12 divisors (see below), whose sum is σ = 314188096560. Its totient is φ = 153871823232.

The previous prime is 233212010303. The next prime is 233212010377. The reversal of 233212010313 is 313010212332.

233212010313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233212010313 - 2²⁴ = 233195233097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233212010313.

It is not an unprimeable number, because it can be changed into a prime (233212010303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4102783 + ... + 4159236.

It is an arithmetic number, because the mean of its divisors is an integer number (26182341380).

Almost surely, 2^233212010313 is an apocalyptic number.

It is an amenable number.

233212010313 is a deficient number, since it is larger than the sum of its proper divisors (80976086247).

233212010313 is an frugal number, since it uses more digits than its factorization.

233212010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262216 (or 8262119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233212010313 its reverse (313010212332), we get a palindrome (546222222645).

The spelling of 233212010313 in words is "two hundred thirty-three billion, two hundred twelve million, ten thousand, three hundred thirteen".