100103131313121 has 16 divisors (see below), whose sum is σ = 135784708693568. Its totient is φ = 65583219240000.

The previous prime is 100103131313071. The next prime is 100103131313131. The reversal of 100103131313121 is 121313131301001.

It is not a de Polignac number, because 100103131313121 - 2⁶ = 100103131313057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103131313131) 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 15 ways as a sum of consecutive naturals, for example, 591394630 + ... + 591563871.

It is an arithmetic number, because the mean of its divisors is an integer number (8486544293348).

Almost surely, 2^{100103131313121} is an apocalyptic number.

It is an amenable number.

100103131313121 is a deficient number, since it is larger than the sum of its proper divisors (35681577380447).

100103131313121 is a wasteful number, since it uses less digits than its factorization.

100103131313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182958992.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 100103131313121 its reverse (121313131301001), we get a palindrome (221416262614122).

The spelling of 100103131313121 in words is "one hundred trillion, one hundred three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty-one".