133123213313 has 4 divisors (see below), whose sum is σ = 133123985988. Its totient is φ = 133122440640.

The previous prime is 133123213303. The next prime is 133123213351. The reversal of 133123213313 is 313312321331.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 313312321331 = 991 ⋅316157741.

It can be written as a sum of positive squares in 2 ways, for example, as 17126433424 + 115996779889 = 130868^2 + 340583^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123213313 - 2⁸ = 133123213057 is a prime.

It is a super-3 number, since 3×133123213313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133123213303) 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 3 ways as a sum of consecutive naturals, for example, 2645 + ... + 515997.

It is an arithmetic number, because the mean of its divisors is an integer number (33280996497).

Almost surely, 2^133123213313 is an apocalyptic number.

It is an amenable number.

133123213313 is a deficient number, since it is larger than the sum of its proper divisors (772675).

133123213313 is an equidigital number, since it uses as much as digits as its factorization.

133123213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772674.

The product of its digits is 2916, while the sum is 26.

Adding to 133123213313 its reverse (313312321331), we get a palindrome (446435534644).

It can be divided in two parts, 13312321331 and 3, that multiplied together give a palindrome (39936963993).

The spelling of 133123213313 in words is "one hundred thirty-three billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred thirteen".