105311001142213 has 2 divisors, whose sum is σ = 105311001142214. Its totient is φ = 105311001142212.

The previous prime is 105311001142189. The next prime is 105311001142289. The reversal of 105311001142213 is 312241100113501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95354092263364 + 9956908878849 = 9764942^2 + 3155457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105311001142213 is a prime.

It is a super-2 number, since 2×105311001142213² (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 (105311001142013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52655500571106 + 52655500571107.

It is an arithmetic number, because the mean of its divisors is an integer number (52655500571107).

Almost surely, 2^{105311001142213} is an apocalyptic number.

It is an amenable number.

105311001142213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105311001142213 is an equidigital number, since it uses as much as digits as its factorization.

105311001142213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 105311001142213 its reverse (312241100113501), we get a palindrome (417552101255714).

The spelling of 105311001142213 in words is "one hundred five trillion, three hundred eleven billion, one million, one hundred forty-two thousand, two hundred thirteen".