100213131011 has 6 divisors (see below), whose sum is σ = 116574458580. Its totient is φ = 85896969396.

The previous prime is 100213130999. The next prime is 100213131013. The reversal of 100213131011 is 110131312001.

It is a happy number.

It is not a de Polignac number, because 100213131011 - 2²⁶ = 100146022147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213131013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1022582921 + ... + 1022583018.

It is an arithmetic number, because the mean of its divisors is an integer number (19429076430).

Almost surely, 2^100213131011 is an apocalyptic number.

100213131011 is a deficient number, since it is larger than the sum of its proper divisors (16361327569).

100213131011 is an equidigital number, since it uses as much as digits as its factorization.

100213131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045165953 (or 2045165946 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100213131011 its reverse (110131312001), we get a palindrome (210344443012).

The spelling of 100213131011 in words is "one hundred billion, two hundred thirteen million, one hundred thirty-one thousand, eleven".