220233231131201 has 2 divisors, whose sum is σ = 220233231131202. Its totient is φ = 220233231131200.

The previous prime is 220233231131189. The next prime is 220233231131213. The reversal of 220233231131201 is 102131132332022.

It is a balanced prime because it is at equal distance from previous prime (220233231131189) and next prime (220233231131213).

It can be written as a sum of positive squares in only one way, i.e., 219533413555600 + 699817575601 = 14816660^2 + 836551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220233231131201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (220233231131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110116615565600 + 110116615565601.

It is an arithmetic number, because the mean of its divisors is an integer number (110116615565601).

Almost surely, 2^{220233231131201} is an apocalyptic number.

It is an amenable number.

220233231131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220233231131201 is an equidigital number, since it uses as much as digits as its factorization.

220233231131201 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 26.

Adding to 220233231131201 its reverse (102131132332022), we get a palindrome (322364363463223).

The spelling of 220233231131201 in words is "two hundred twenty trillion, two hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred one".