3313130111001 has 24 divisors (see below), whose sum is σ = 4941435572736. Its totient is φ = 2136885433920.

The previous prime is 3313130110951. The next prime is 3313130111017. The reversal of 3313130111001 is 1001110313133.

3313130111001 is a `hidden beast` number, since 331 + 31 + 301 + 1 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 3313130111001 - 2²⁵ = 3313096556569 is a prime.

It is a super-2 number, since 2×3313130111001² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3313130111201) 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 23 ways as a sum of consecutive naturals, for example, 748380 + ... + 2680733.

It is an arithmetic number, because the mean of its divisors is an integer number (205893148864).

Almost surely, 2^{3313130111001} is an apocalyptic number.

3313130111001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3313130111001 is a deficient number, since it is larger than the sum of its proper divisors (1628305461735).

3313130111001 is a wasteful number, since it uses less digits than its factorization.

3313130111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432613 (or 3432610 counting only the distinct ones).

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

Adding to 3313130111001 its reverse (1001110313133), we get a palindrome (4314240424134).

The spelling of 3313130111001 in words is "three trillion, three hundred thirteen billion, one hundred thirty million, one hundred eleven thousand, one".