100213201031 has 32 divisors (see below), whose sum is σ = 106730265600. Its totient is φ = 93903040000.

The previous prime is 100213201027. The next prime is 100213201087. The reversal of 100213201031 is 130102312001.

It is a cyclic number.

It is not a de Polignac number, because 100213201031 - 2² = 100213201027 is a prime.

It is a super-2 number, since 2×100213201031² (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 = 100213200997 and 100213201015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213201001) 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 31 ways as a sum of consecutive naturals, for example, 97199486 + ... + 97200516.

It is an arithmetic number, because the mean of its divisors is an integer number (3335320800).

Almost surely, 2^100213201031 is an apocalyptic number.

100213201031 is a deficient number, since it is larger than the sum of its proper divisors (6517064569).

100213201031 is a wasteful number, since it uses less digits than its factorization.

100213201031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100213201031 its reverse (130102312001), we get a palindrome (230315513032).

The spelling of 100213201031 in words is "one hundred billion, two hundred thirteen million, two hundred one thousand, thirty-one".