105050432111213 has 2 divisors, whose sum is σ = 105050432111214. Its totient is φ = 105050432111212.

The previous prime is 105050432111113. The next prime is 105050432111231. The reversal of 105050432111213 is 312111234050501.

It is a happy number.

Together with next prime (105050432111231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95060199013924 + 9990233097289 = 9749882^2 + 3160733^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105050432111213 is a prime.

It is a super-2 number, since 2×105050432111213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105050432111243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525216055606 + 52525216055607.

It is an arithmetic number, because the mean of its divisors is an integer number (52525216055607).

Almost surely, 2^{105050432111213} is an apocalyptic number.

It is an amenable number.

105050432111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050432111213 is an equidigital number, since it uses as much as digits as its factorization.

105050432111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105050432111213 its reverse (312111234050501), we get a palindrome (417161666161714).

The spelling of 105050432111213 in words is "one hundred five trillion, fifty billion, four hundred thirty-two million, one hundred eleven thousand, two hundred thirteen".