100313221333 has 6 divisors (see below), whose sum is σ = 108623192514. Its totient is φ = 92596819536.

The previous prime is 100313221331. The next prime is 100313221339. The reversal of 100313221333 is 333122313001.

It can be written as a sum of positive squares in 3 ways, for example, as 12485157169 + 87828064164 = 111737^2 + 296358^2 .

It is not a de Polignac number, because 100313221333 - 2¹ = 100313221331 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 (100313221331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296784510 + ... + 296784847.

It is an arithmetic number, because the mean of its divisors is an integer number (18103865419).

Almost surely, 2^100313221333 is an apocalyptic number.

100313221333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100313221333 is a deficient number, since it is larger than the sum of its proper divisors (8309971181).

100313221333 is an equidigital number, since it uses as much as digits as its factorization.

100313221333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593569383 (or 593569370 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100313221333 its reverse (333122313001), we get a palindrome (433435534334).

The spelling of 100313221333 in words is "one hundred billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred thirty-three".