100103323100331 has 16 divisors (see below), whose sum is σ = 140511326819840. Its totient is φ = 63216205794720.

The previous prime is 100103323100311. The next prime is 100103323100437. The reversal of 100103323100331 is 133001323301001.

It is not a de Polignac number, because 100103323100331 - 2⁶ = 100103323100267 is a prime.

It is a super-2 number, since 2×100103323100331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100103323100298 and 100103323100307.

It is not an unprimeable number, because it can be changed into a prime (100103323100311) 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, 95943760 + ... + 96981501.

It is an arithmetic number, because the mean of its divisors is an integer number (8781957926240).

Almost surely, 2^{100103323100331} is an apocalyptic number.

100103323100331 is a deficient number, since it is larger than the sum of its proper divisors (40408003719509).

100103323100331 is a wasteful number, since it uses less digits than its factorization.

100103323100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192934386.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100103323100331 its reverse (133001323301001), we get a palindrome (233104646401332).

The spelling of 100103323100331 in words is "one hundred trillion, one hundred three billion, three hundred twenty-three million, one hundred thousand, three hundred thirty-one".