100032312213 has 24 divisors (see below), whose sum is σ = 149325223320. Its totient is φ = 64485872640.

The previous prime is 100032312197. The next prime is 100032312217. The reversal of 100032312213 is 312213230001.

It can be written as a sum of positive squares in 4 ways, for example, as 984892689 + 99047419524 = 31383^2 + 314718^2 .

It is not a de Polignac number, because 100032312213 - 2⁴ = 100032312197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032312217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157818 + ... + 1241211.

It is an arithmetic number, because the mean of its divisors is an integer number (6221884305).

Almost surely, 2^100032312213 is an apocalyptic number.

It is an amenable number.

100032312213 is a deficient number, since it is larger than the sum of its proper divisors (49292911107).

100032312213 is a wasteful number, since it uses less digits than its factorization.

100032312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399189 (or 2399186 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100032312213 its reverse (312213230001), we get a palindrome (412245542214).

The spelling of 100032312213 in words is "one hundred billion, thirty-two million, three hundred twelve thousand, two hundred thirteen".