1320003312121 has 8 divisors (see below), whose sum is σ = 1437514412040. Its totient is φ = 1204773981312.

The previous prime is 1320003312107. The next prime is 1320003312137. The reversal of 1320003312121 is 1212133000231.

It can be written as a sum of positive squares in 4 ways, for example, as 166108414096 + 1153894898025 = 407564^2 + 1074195^2 .

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 1320003312121 - 2⁹ = 1320003311609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1320003312421) 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, 570441070 + ... + 570443383.

It is an arithmetic number, because the mean of its divisors is an integer number (179689301505).

Almost surely, 2^{1320003312121} is an apocalyptic number.

It is an amenable number.

1320003312121 is a deficient number, since it is larger than the sum of its proper divisors (117511099919).

1320003312121 is a wasteful number, since it uses less digits than its factorization.

1320003312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140884555.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1320003312121 its reverse (1212133000231), we get a palindrome (2532136312352).

The spelling of 1320003312121 in words is "one trillion, three hundred twenty billion, three million, three hundred twelve thousand, one hundred twenty-one".