1313312103201 has 32 divisors (see below), whose sum is σ = 2024542078720. Its totient is φ = 741745299456.

The previous prime is 1313312103137. The next prime is 1313312103211. The reversal of 1313312103201 is 1023012133131.

It is a happy number.

It is not a de Polignac number, because 1313312103201 - 2⁶ = 1313312103137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1313312103211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116165 + ... + 1967853.

It is an arithmetic number, because the mean of its divisors is an integer number (63266939960).

Almost surely, 2^{1313312103201} is an apocalyptic number.

It is an amenable number.

1313312103201 is a deficient number, since it is larger than the sum of its proper divisors (711229975519).

1313312103201 is an equidigital number, since it uses as much as digits as its factorization.

1313312103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852553.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1313312103201 its reverse (1023012133131), we get a palindrome (2336324236332).

The spelling of 1313312103201 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, one hundred three thousand, two hundred one".