100220000013 has 48 divisors (see below), whose sum is σ = 170199993600. Its totient is φ = 55626974208.

The previous prime is 100220000009. The next prime is 100220000033. The reversal of 100220000013 is 310000022001.

It is a happy number.

It is not a de Polignac number, because 100220000013 - 2² = 100220000009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220000033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360381 + ... + 1432157.

It is an arithmetic number, because the mean of its divisors is an integer number (3545833200).

Almost surely, 2^100220000013 is an apocalyptic number.

It is an amenable number.

100220000013 is a deficient number, since it is larger than the sum of its proper divisors (69979993587).

100220000013 is a wasteful number, since it uses less digits than its factorization.

100220000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72426 (or 72423 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100220000013 its reverse (310000022001), we get a palindrome (410220022014).

The spelling of 100220000013 in words is "one hundred billion, two hundred twenty million, thirteen", and thus it is an aban number.