1321313312001 has 8 divisors (see below), whose sum is σ = 1761765734464. Its totient is φ = 880868215440.

The previous prime is 1321313311943. The next prime is 1321313312023. The reversal of 1321313312001 is 1002133131231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1321313312001 - 2¹⁹ = 1321312787713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321313312701) 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 7 ways as a sum of consecutive naturals, for example, 1395826 + ... + 2142651.

It is an arithmetic number, because the mean of its divisors is an integer number (220220716808).

Almost surely, 2^{1321313312001} is an apocalyptic number.

It is an amenable number.

1321313312001 is a deficient number, since it is larger than the sum of its proper divisors (440452422463).

1321313312001 is a wasteful number, since it uses less digits than its factorization.

1321313312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662951.

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

Adding to 1321313312001 its reverse (1002133131231), we get a palindrome (2323446443232).

The spelling of 1321313312001 in words is "one trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twelve thousand, one".