1313121230001 has 72 divisors (see below), whose sum is σ = 2303183272104. Its totient is φ = 718106135040.

The previous prime is 1313121229951. The next prime is 1313121230017. The reversal of 1313121230001 is 1000321213131.

1313121230001 is a `hidden beast` number, since 1 + 313 + 121 + 230 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 517501829376 + 795619400625 = 719376^2 + 891975^2 .

It is not a de Polignac number, because 1313121230001 - 2¹⁰ = 1313121228977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313121230021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335701 + ... + 1654973.

It is an arithmetic number, because the mean of its divisors is an integer number (31988656557).

Almost surely, 2^{1313121230001} is an apocalyptic number.

It is an amenable number.

1313121230001 is a deficient number, since it is larger than the sum of its proper divisors (990062042103).

1313121230001 is a wasteful number, since it uses less digits than its factorization.

1313121230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319391 (or 1319381 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313121230001 its reverse (1000321213131), we get a palindrome (2313442443132).

The spelling of 1313121230001 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred thirty thousand, one".