100211312131 has 12 divisors (see below), whose sum is σ = 116777247480. Its totient is φ = 85744428000.

The previous prime is 100211312083. The next prime is 100211312137. The reversal of 100211312131 is 131213112001.

It is a happy number.

It is not a de Polignac number, because 100211312131 - 2¹⁹ = 100210787843 is a prime.

It is a super-2 number, since 2×100211312131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211312137) 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 11 ways as a sum of consecutive naturals, for example, 1769245 + ... + 1825006.

It is an arithmetic number, because the mean of its divisors is an integer number (9731437290).

Almost surely, 2^100211312131 is an apocalyptic number.

100211312131 is a deficient number, since it is larger than the sum of its proper divisors (16565935349).

100211312131 is an equidigital number, since it uses as much as digits as its factorization.

100211312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594834 (or 3594827 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100211312131 its reverse (131213112001), we get a palindrome (231424424132).

The spelling of 100211312131 in words is "one hundred billion, two hundred eleven million, three hundred twelve thousand, one hundred thirty-one".