100031001213 has 32 divisors (see below), whose sum is σ = 156861210240. Its totient is φ = 55900938240.

The previous prime is 100031001157. The next prime is 100031001227. The reversal of 100031001213 is 312100130001.

It is not a de Polignac number, because 100031001213 - 2¹⁰ = 100031000189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031001263) 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 31 ways as a sum of consecutive naturals, for example, 273045 + ... + 524037.

It is an arithmetic number, because the mean of its divisors is an integer number (4901912820).

Almost surely, 2^100031001213 is an apocalyptic number.

100031001213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100031001213 is a deficient number, since it is larger than the sum of its proper divisors (56830209027).

100031001213 is a wasteful number, since it uses less digits than its factorization.

100031001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251949.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100031001213 its reverse (312100130001), we get a palindrome (412131131214).

The spelling of 100031001213 in words is "one hundred billion, thirty-one million, one thousand, two hundred thirteen".