223002313321311 has 24 divisors (see below), whose sum is σ = 323056077664320. Its totient is φ = 148234239369216.

The previous prime is 223002313321303. The next prime is 223002313321339. The reversal of 223002313321311 is 113123313200322.

223002313321311 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 2 + 313 + 32 + 1 + 311 = 666.

It is not a de Polignac number, because 223002313321311 - 2³ = 223002313321303 is a prime.

It is a super-3 number, since 3×223002313321311³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223002313326311) 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, 21840855 + ... + 30381368.

It is an arithmetic number, because the mean of its divisors is an integer number (13460669902680).

Almost surely, 2^{223002313321311} is an apocalyptic number.

223002313321311 is a deficient number, since it is larger than the sum of its proper divisors (100053764343009).

223002313321311 is a wasteful number, since it uses less digits than its factorization.

223002313321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52223615 (or 52223612 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223002313321311 its reverse (113123313200322), we get a palindrome (336125626521633).

The spelling of 223002313321311 in words is "two hundred twenty-three trillion, two billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".