1313100022113 has 12 divisors (see below), whose sum is σ = 2069127307728. Its totient is φ = 795818195160.

The previous prime is 1313100022109. The next prime is 1313100022133. The reversal of 1313100022113 is 3112200013131.

1313100022113 is a `hidden beast` number, since 131 + 310 + 0 + 0 + 221 + 1 + 3 = 666.

It is not a de Polignac number, because 1313100022113 - 2² = 1313100022109 is a prime.

It is a super-2 number, since 2×1313100022113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313100022133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6631818195 + ... + 6631818392.

It is an arithmetic number, because the mean of its divisors is an integer number (172427275644).

Almost surely, 2^{1313100022113} is an apocalyptic number.

It is an amenable number.

1313100022113 is a deficient number, since it is larger than the sum of its proper divisors (756027285615).

1313100022113 is a wasteful number, since it uses less digits than its factorization.

1313100022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263636604 (or 13263636601 counting only the distinct ones).

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

Adding to 1313100022113 its reverse (3112200013131), we get a palindrome (4425300035244).

The spelling of 1313100022113 in words is "one trillion, three hundred thirteen billion, one hundred million, twenty-two thousand, one hundred thirteen".