133331131313 has 8 divisors (see below), whose sum is σ = 134111607336. Its totient is φ = 132550768000.

The previous prime is 133331131303. The next prime is 133331131327. The reversal of 133331131313 is 313131133331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71517735184 + 61813396129 = 267428^2 + 248623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133331131313 - 2⁶ = 133331131249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133331131303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4101383 + ... + 4133763.

It is an arithmetic number, because the mean of its divisors is an integer number (16763950917).

Almost surely, 2^133331131313 is an apocalyptic number.

It is an amenable number.

133331131313 is a deficient number, since it is larger than the sum of its proper divisors (780476023).

133331131313 is a wasteful number, since it uses less digits than its factorization.

133331131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56355.

The product of its digits is 2187, while the sum is 26.

Adding to 133331131313 its reverse (313131133331), we get a palindrome (446462264644).

The spelling of 133331131313 in words is "one hundred thirty-three billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".