100585293754213 has 2 divisors, whose sum is σ = 100585293754214. Its totient is φ = 100585293754212.

The previous prime is 100585293754079. The next prime is 100585293754217. The reversal of 100585293754213 is 312457392585001.

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., 70037365781889 + 30547927972324 = 8368833^2 + 5527018^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585293754213 - 2⁹ = 100585293753701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100585293754217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292646877106 + 50292646877107.

It is an arithmetic number, because the mean of its divisors is an integer number (50292646877107).

Almost surely, 2^{100585293754213} is an apocalyptic number.

It is an amenable number.

100585293754213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585293754213 is an equidigital number, since it uses as much as digits as its factorization.

100585293754213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 100585293754213 in words is "one hundred trillion, five hundred eighty-five billion, two hundred ninety-three million, seven hundred fifty-four thousand, two hundred thirteen".