100220031013 has 2 divisors, whose sum is σ = 100220031014. Its totient is φ = 100220031012.

The previous prime is 100220031011. The next prime is 100220031017. The reversal of 100220031013 is 310130022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83901756964 + 16318274049 = 289658^2 + 127743^2 .

It is an emirp because it is prime and its reverse (310130022001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100220031013 - 2¹ = 100220031011 is a prime.

Together with 100220031011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100220030984 and 100220031002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220031011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110015506 + 50110015507.

It is an arithmetic number, because the mean of its divisors is an integer number (50110015507).

Almost surely, 2^100220031013 is an apocalyptic number.

It is an amenable number.

100220031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220031013 is an equidigital number, since it uses as much as digits as its factorization.

100220031013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100220031013 its reverse (310130022001), we get a palindrome (410350053014).

The spelling of 100220031013 in words is "one hundred billion, two hundred twenty million, thirty-one thousand, thirteen".