12003220100313 has 28 divisors (see below), whose sum is σ = 19380951157540. Its totient is φ = 7386596978976.

The previous prime is 12003220100309. The next prime is 12003220100341. The reversal of 12003220100313 is 31300102230021.

12003220100313 is a `hidden beast` number, since 1 + 20 + 0 + 322 + 0 + 10 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7448461680969 + 4554758419344 = 2729187^2 + 2134188^2 .

It is not a de Polignac number, because 12003220100313 - 2² = 12003220100309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12003220100393) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 633272158 + ... + 633291111.

It is an arithmetic number, because the mean of its divisors is an integer number (692176827055).

Almost surely, 2^{12003220100313} is an apocalyptic number.

12003220100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12003220100313 is a deficient number, since it is larger than the sum of its proper divisors (7377731057227).

12003220100313 is an equidigital number, since it uses as much as digits as its factorization.

12003220100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266563300 (or 1266563285 counting only the distinct ones).

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

Adding to 12003220100313 its reverse (31300102230021), we get a palindrome (43303322330334).

The spelling of 12003220100313 in words is "twelve trillion, three billion, two hundred twenty million, one hundred thousand, three hundred thirteen".