223111200032129 has 2 divisors, whose sum is σ = 223111200032130. Its totient is φ = 223111200032128.

The previous prime is 223111200032069. The next prime is 223111200032131. The reversal of 223111200032129 is 921230002111322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204624442090000 + 18486757942129 = 14304700^2 + 4299623^2 .

It is a cyclic number.

It is not a de Polignac number, because 223111200032129 - 2²⁰ = 223111198983553 is a prime.

It is a super-3 number, since 3×223111200032129³ (a number of 44 digits) contains 333 as substring.

Together with 223111200032131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (223111200032159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111555600016064 + 111555600016065.

It is an arithmetic number, because the mean of its divisors is an integer number (111555600016065).

Almost surely, 2^{223111200032129} is an apocalyptic number.

It is an amenable number.

223111200032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223111200032129 is an equidigital number, since it uses as much as digits as its factorization.

223111200032129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 223111200032129 in words is "two hundred twenty-three trillion, one hundred eleven billion, two hundred million, thirty-two thousand, one hundred twenty-nine".