1313321320103 has 32 divisors (see below), whose sum is σ = 1506372940800. Its totient is φ = 1135841008896.

The previous prime is 1313321320067. The next prime is 1313321320109. The reversal of 1313321320103 is 3010231233131.

It is a cyclic number.

It is not a de Polignac number, because 1313321320103 - 2¹⁴ = 1313321303719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313321320109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2616758 + ... + 3077996.

It is an arithmetic number, because the mean of its divisors is an integer number (47074154400).

Almost surely, 2^{1313321320103} is an apocalyptic number.

1313321320103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1313321320103 is a deficient number, since it is larger than the sum of its proper divisors (193051620697).

1313321320103 is a wasteful number, since it uses less digits than its factorization.

1313321320103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461471.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1313321320103 its reverse (3010231233131), we get a palindrome (4323552553234).

The spelling of 1313321320103 in words is "one trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred twenty thousand, one hundred three".