100101314060213 has 2 divisors, whose sum is σ = 100101314060214. Its totient is φ = 100101314060212.

The previous prime is 100101314060161. The next prime is 100101314060227. The reversal of 100101314060213 is 312060413101001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99944147800849 + 157166259364 = 9997207^2 + 396442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101314060213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101314060273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050657030106 + 50050657030107.

It is an arithmetic number, because the mean of its divisors is an integer number (50050657030107).

Almost surely, 2^{100101314060213} is an apocalyptic number.

It is an amenable number.

100101314060213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101314060213 is an equidigital number, since it uses as much as digits as its factorization.

100101314060213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 100101314060213 its reverse (312060413101001), we get a palindrome (412161727161214).

The spelling of 100101314060213 in words is "one hundred trillion, one hundred one billion, three hundred fourteen million, sixty thousand, two hundred thirteen".