1323003001013 has 8 divisors (see below), whose sum is σ = 1341149707800. Its totient is φ = 1304856926208.

The previous prime is 1323003000989. The next prime is 1323003001027. The reversal of 1323003001013 is 3101003003231.

It can be written as a sum of positive squares in 4 ways, for example, as 100246957924 + 1222756043089 = 316618^2 + 1105783^2 .

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 1323003001013 - 2¹⁶ = 1323002935477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1323003000982 and 1323003001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323003001063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5378723 + ... + 5619311.

It is an arithmetic number, because the mean of its divisors is an integer number (167643713475).

Almost surely, 2^{1323003001013} is an apocalyptic number.

It is an amenable number.

1323003001013 is a deficient number, since it is larger than the sum of its proper divisors (18146706787).

1323003001013 is an equidigital number, since it uses as much as digits as its factorization.

1323003001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315991.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1323003001013 its reverse (3101003003231), we get a palindrome (4424006004244).

It can be divided in two parts, 132300 and 3001013, that added together give a palindrome (3133313).

The spelling of 1323003001013 in words is "one trillion, three hundred twenty-three billion, three million, one thousand, thirteen".