220031110212113 has 2 divisors, whose sum is σ = 220031110212114. Its totient is φ = 220031110212112.

The previous prime is 220031110212097. The next prime is 220031110212191. The reversal of 220031110212113 is 311212011130022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204358118070544 + 15672992141569 = 14295388^2 + 3958913^2 .

It is a cyclic number.

It is not a de Polignac number, because 220031110212113 - 2⁴ = 220031110212097 is a prime.

It is a super-2 number, since 2×220031110212113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220031110211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110015555106056 + 110015555106057.

It is an arithmetic number, because the mean of its divisors is an integer number (110015555106057).

Almost surely, 2^{220031110212113} is an apocalyptic number.

It is an amenable number.

220031110212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220031110212113 is an equidigital number, since it uses as much as digits as its factorization.

220031110212113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 220031110212113 its reverse (311212011130022), we get a palindrome (531243121342135).

The spelling of 220031110212113 in words is "two hundred twenty trillion, thirty-one billion, one hundred ten million, two hundred twelve thousand, one hundred thirteen".