101080224013 has 2 divisors, whose sum is σ = 101080224014. Its totient is φ = 101080224012.

The previous prime is 101080223987. The next prime is 101080224023. The reversal of 101080224013 is 310422080101.

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., 96996119364 + 4084104649 = 311442^2 + 63907^2 .

It is a cyclic number.

It is not a de Polignac number, because 101080224013 - 2²¹ = 101078126861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101080224023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50540112006 + 50540112007.

It is an arithmetic number, because the mean of its divisors is an integer number (50540112007).

Almost surely, 2^101080224013 is an apocalyptic number.

It is an amenable number.

101080224013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101080224013 is an equidigital number, since it uses as much as digits as its factorization.

101080224013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 101080224013 in words is "one hundred one billion, eighty million, two hundred twenty-four thousand, thirteen".