230320002011319 has 48 divisors (see below), whose sum is σ = 368520522907680. Its totient is φ = 137443546552320.

The previous prime is 230320002011303. The next prime is 230320002011357. The reversal of 230320002011319 is 913110200023032.

230320002011319 is a `hidden beast` number, since 2 + 3 + 0 + 320 + 0 + 0 + 20 + 1 + 1 + 319 = 666.

It is not a de Polignac number, because 230320002011319 - 2⁴ = 230320002011303 is a prime.

It is a super-3 number, since 3×230320002011319³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 230320002011292 and 230320002011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320002011219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22585704 + ... + 31156925.

It is an arithmetic number, because the mean of its divisors is an integer number (7677510893910).

Almost surely, 2^{230320002011319} is an apocalyptic number.

230320002011319 is a deficient number, since it is larger than the sum of its proper divisors (138200520896361).

230320002011319 is a wasteful number, since it uses less digits than its factorization.

230320002011319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53743312 (or 53743309 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 230320002011319 in words is "two hundred thirty trillion, three hundred twenty billion, two million, eleven thousand, three hundred nineteen".