1313330111001 has 32 divisors (see below), whose sum is σ = 1956768000000. Its totient is φ = 870567146064.

The previous prime is 1313330110973. The next prime is 1313330111011. The reversal of 1313330111001 is 1001110333131.

1313330111001 is a `hidden beast` number, since 1 + 313 + 330 + 11 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 1313330111001 - 2⁹ = 1313330110489 is a prime.

It is a super-3 number, since 3×1313330111001³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313330111011) 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, 7972596 + ... + 8135658.

It is an arithmetic number, because the mean of its divisors is an integer number (61149000000).

Almost surely, 2^{1313330111001} is an apocalyptic number.

It is an amenable number.

1313330111001 is a deficient number, since it is larger than the sum of its proper divisors (643437888999).

1313330111001 is a wasteful number, since it uses less digits than its factorization.

1313330111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164770 (or 164764 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1313330111001 its reverse (1001110333131), we get a palindrome (2314440444132).

The spelling of 1313330111001 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, one hundred eleven thousand, one".