100011213333 has 48 divisors (see below), whose sum is σ = 156590596656. Its totient is φ = 61279027200.

The previous prime is 100011213257. The next prime is 100011213371. The reversal of 100011213333 is 333312110001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23883229764 + 76127983569 = 154542^2 + 275913^2 .

It is not a de Polignac number, because 100011213333 - 2⁸ = 100011213077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011213373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083741 + ... + 1172397.

It is an arithmetic number, because the mean of its divisors is an integer number (3262304097).

Almost surely, 2^100011213333 is an apocalyptic number.

It is an amenable number.

100011213333 is a deficient number, since it is larger than the sum of its proper divisors (56579383323).

100011213333 is a wasteful number, since it uses less digits than its factorization.

100011213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88854 (or 88851 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100011213333 its reverse (333312110001), we get a palindrome (433323323334).

The spelling of 100011213333 in words is "one hundred billion, eleven million, two hundred thirteen thousand, three hundred thirty-three".