1313312330133 has 12 divisors (see below), whose sum is σ = 1897016698720. Its totient is φ = 875536938216.

The previous prime is 1313312330129. The next prime is 1313312330137. The reversal of 1313312330133 is 3310332133131.

1313312330133 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 312 + 330 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1313312330129) and next prime (1313312330137).

It is not a de Polignac number, because 1313312330133 - 2² = 1313312330129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313312330097 and 1313312330106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313312330137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2844858 + ... + 3274116.

Almost surely, 2^{1313312330133} is an apocalyptic number.

It is an amenable number.

1313312330133 is a deficient number, since it is larger than the sum of its proper divisors (583704368587).

1313312330133 is a wasteful number, since it uses less digits than its factorization.

1313312330133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769208 (or 769205 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1313312330133 its reverse (3310332133131), we get a palindrome (4623644463264).

The spelling of 1313312330133 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty thousand, one hundred thirty-three".