1312013133 has 12 divisors (see below), whose sum is σ = 1965320448. Its totient is φ = 874675260.

The previous prime is 1312013113. The next prime is 1312013177. The reversal of 1312013133 is 3313102131.

It is a happy number.

It is not a de Polignac number, because 1312013133 - 2⁶ = 1312013069 is a prime.

It is a super-3 number, since 3×1312013133³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312013113) 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, 2699373 + ... + 2699858.

It is an arithmetic number, because the mean of its divisors is an integer number (163776704).

Almost surely, 2^1312013133 is an apocalyptic number.

It is an amenable number.

1312013133 is a deficient number, since it is larger than the sum of its proper divisors (653307315).

1312013133 is an frugal number, since it uses more digits than its factorization.

1312013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399246 (or 5399234 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1312013133 is about 36221.7218392500. The cubic root of 1312013133 is about 1094.7443876990.

Adding to 1312013133 its reverse (3313102131), we get a palindrome (4625115264).

The spelling of 1312013133 in words is "one billion, three hundred twelve million, thirteen thousand, one hundred thirty-three".