100131000213 has 8 divisors (see below), whose sum is σ = 137116324768. Its totient is φ = 64949837904.

The previous prime is 100131000209. The next prime is 100131000251. The reversal of 100131000213 is 312000131001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100131000213 - 2² = 100131000209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131000253) 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 7 ways as a sum of consecutive naturals, for example, 451040431 + ... + 451040652.

It is an arithmetic number, because the mean of its divisors is an integer number (17139540596).

Almost surely, 2^100131000213 is an apocalyptic number.

It is an amenable number.

100131000213 is a deficient number, since it is larger than the sum of its proper divisors (36985324555).

100131000213 is an equidigital number, since it uses as much as digits as its factorization.

100131000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902081123.

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

Adding to 100131000213 its reverse (312000131001), we get a palindrome (412131131214).

The spelling of 100131000213 in words is "one hundred billion, one hundred thirty-one million, two hundred thirteen", and thus it is an aban number.