1313610104133 has 20 divisors (see below), whose sum is σ = 1965755214060. Its totient is φ = 874200952512.

The previous prime is 1313610104117. The next prime is 1313610104137. The reversal of 1313610104133 is 3314010163131.

1313610104133 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 610 + 1 + 0 + 41 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184198047489 + 1129412056644 = 429183^2 + 1062738^2 .

It is not a de Polignac number, because 1313610104133 - 2⁴ = 1313610104117 is a prime.

It is a super-2 number, since 2×1313610104133² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1313610104097 and 1313610104106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313610104137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14204710 + ... + 14296887.

It is an arithmetic number, because the mean of its divisors is an integer number (98287760703).

Almost surely, 2^{1313610104133} is an apocalyptic number.

It is an amenable number.

1313610104133 is a deficient number, since it is larger than the sum of its proper divisors (652145109927).

1313610104133 is an equidigital number, since it uses as much as digits as its factorization.

1313610104133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28502178 (or 28502169 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1313610104133 its reverse (3314010163131), we get a palindrome (4627620267264).

The spelling of 1313610104133 in words is "one trillion, three hundred thirteen billion, six hundred ten million, one hundred four thousand, one hundred thirty-three".