100031202213 has 8 divisors (see below), whose sum is σ = 133388092800. Its totient is φ = 66680889888.

The previous prime is 100031202199. The next prime is 100031202289. The reversal of 100031202213 is 312202130001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100031202213 - 2⁹ = 100031201701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031202192 and 100031202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031203213) 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 7 ways as a sum of consecutive naturals, for example, 1608973 + ... + 1669986.

It is an arithmetic number, because the mean of its divisors is an integer number (16673511600).

Almost surely, 2^100031202213 is an apocalyptic number.

It is an amenable number.

100031202213 is a deficient number, since it is larger than the sum of its proper divisors (33356890587).

100031202213 is a wasteful number, since it uses less digits than its factorization.

100031202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289131.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100031202213 its reverse (312202130001), we get a palindrome (412233332214).

The spelling of 100031202213 in words is "one hundred billion, thirty-one million, two hundred two thousand, two hundred thirteen".