100213344231 has 128 divisors (see below), whose sum is σ = 184960720896. Its totient is φ = 46575751680.

The previous prime is 100213344199. The next prime is 100213344289. The reversal of 100213344231 is 132443312001.

It is a happy number.

It is not a de Polignac number, because 100213344231 - 2⁵ = 100213344199 is a prime.

It is a super-2 number, since 2×100213344231² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213344131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31442820 + ... + 31446006.

It is an arithmetic number, because the mean of its divisors is an integer number (1445005632).

Almost surely, 2^100213344231 is an apocalyptic number.

100213344231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100213344231 is a deficient number, since it is larger than the sum of its proper divisors (84747376665).

100213344231 is a wasteful number, since it uses less digits than its factorization.

100213344231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100213344231 its reverse (132443312001), we get a palindrome (232656656232).

It can be divided in two parts, 100213 and 344231, that added together give a palindrome (444444).

The spelling of 100213344231 in words is "one hundred billion, two hundred thirteen million, three hundred forty-four thousand, two hundred thirty-one".