100223104131053 has 2 divisors, whose sum is σ = 100223104131054. Its totient is φ = 100223104131052.

The previous prime is 100223104131019. The next prime is 100223104131221. The reversal of 100223104131053 is 350131401322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50240282689444 + 49982821441609 = 7088038^2 + 7069853^2 .

It is a cyclic number.

It is not a de Polignac number, because 100223104131053 - 2²⁰ = 100223103082477 is a prime.

It is a super-3 number, since 3×100223104131053³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100223104130053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111552065526 + 50111552065527.

It is an arithmetic number, because the mean of its divisors is an integer number (50111552065527).

Almost surely, 2^{100223104131053} is an apocalyptic number.

It is an amenable number.

100223104131053 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223104131053 is an equidigital number, since it uses as much as digits as its factorization.

100223104131053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 100223104131053 its reverse (350131401322001), we get a palindrome (450354505453054).

The spelling of 100223104131053 in words is "one hundred trillion, two hundred twenty-three billion, one hundred four million, one hundred thirty-one thousand, fifty-three".