100213311331 has 12 divisors (see below), whose sum is σ = 116826475872. Its totient is φ = 85711581648.

The previous prime is 100213311313. The next prime is 100213311347. The reversal of 100213311331 is 133113312001.

It is not a de Polignac number, because 100213311331 - 2⁵ = 100213311299 is a prime.

It is a super-2 number, since 2×100213311331² (a number of 23 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 = 100213311299 and 100213311308.

It is not an unprimeable number, because it can be changed into a prime (100213311361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185920 + ... + 2231293.

It is an arithmetic number, because the mean of its divisors is an integer number (9735539656).

Almost surely, 2^100213311331 is an apocalyptic number.

100213311331 is a deficient number, since it is larger than the sum of its proper divisors (16613164541).

100213311331 is an equidigital number, since it uses as much as digits as its factorization.

100213311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417690 (or 4417683 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100213311331 its reverse (133113312001), we get a palindrome (233326623332).

The spelling of 100213311331 in words is "one hundred billion, two hundred thirteen million, three hundred eleven thousand, three hundred thirty-one".