100022302123013 has 2 divisors, whose sum is σ = 100022302123014. Its totient is φ = 100022302123012.

The previous prime is 100022302122947. The next prime is 100022302123019. The reversal of 100022302123013 is 310321203220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71142780805924 + 28879521317089 = 8434618^2 + 5373967^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022302123013 - 2¹⁶ = 100022302057477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022302123019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011151061506 + 50011151061507.

It is an arithmetic number, because the mean of its divisors is an integer number (50011151061507).

Almost surely, 2^{100022302123013} is an apocalyptic number.

It is an amenable number.

100022302123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022302123013 is an equidigital number, since it uses as much as digits as its factorization.

100022302123013 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 20.

Adding to 100022302123013 its reverse (310321203220001), we get a palindrome (410343505343014).

The spelling of 100022302123013 in words is "one hundred trillion, twenty-two billion, three hundred two million, one hundred twenty-three thousand, thirteen".