100121231313 has 6 divisors (see below), whose sum is σ = 144619556354. Its totient is φ = 66747487536.

The previous prime is 100121231297. The next prime is 100121231323. The reversal of 100121231313 is 313132121001.

100121231313 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 231 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85962135249 + 14159096064 = 293193^2 + 118992^2 .

It is not a de Polignac number, because 100121231313 - 2⁴ = 100121231297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121231323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562290620 + ... + 5562290637.

Almost surely, 2^100121231313 is an apocalyptic number.

It is an amenable number.

100121231313 is a deficient number, since it is larger than the sum of its proper divisors (44498325041).

100121231313 is a wasteful number, since it uses less digits than its factorization.

100121231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11124581263 (or 11124581260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100121231313 its reverse (313132121001), we get a palindrome (413253352314).

The spelling of 100121231313 in words is "one hundred billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred thirteen".