100220121313 has 16 divisors (see below), whose sum is σ = 114427230400. Its totient is φ = 87011340480.

The previous prime is 100220121311. The next prime is 100220121341. The reversal of 100220121313 is 313121022001.

It is a cyclic number.

It is not a de Polignac number, because 100220121313 - 2¹ = 100220121311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425198 + ... + 1493863.

It is an arithmetic number, because the mean of its divisors is an integer number (7151701900).

Almost surely, 2^100220121313 is an apocalyptic number.

100220121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100220121313 is a deficient number, since it is larger than the sum of its proper divisors (14207109087).

100220121313 is a wasteful number, since it uses less digits than its factorization.

100220121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919232.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100220121313 its reverse (313121022001), we get a palindrome (413341143314).

The spelling of 100220121313 in words is "one hundred billion, two hundred twenty million, one hundred twenty-one thousand, three hundred thirteen".