100313113213 has 8 divisors (see below), whose sum is σ = 100424603448. Its totient is φ = 100201688064.

The previous prime is 100313113193. The next prime is 100313113253. The reversal of 100313113213 is 312311313001.

It can be written as a sum of positive squares in 4 ways, for example, as 29927962009 + 70385151204 = 172997^2 + 265302^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100313113213 - 2⁹ = 100313112701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313113253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3469545 + ... + 3498337.

It is an arithmetic number, because the mean of its divisors is an integer number (12553075431).

Almost surely, 2^100313113213 is an apocalyptic number.

It is an amenable number.

100313113213 is a deficient number, since it is larger than the sum of its proper divisors (111490235).

100313113213 is a wasteful number, since it uses less digits than its factorization.

100313113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32543.

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

Adding to 100313113213 its reverse (312311313001), we get a palindrome (412624426214).

The spelling of 100313113213 in words is "one hundred billion, three hundred thirteen million, one hundred thirteen thousand, two hundred thirteen".