1312002133 has 32 divisors (see below), whose sum is σ = 1524096000. Its totient is φ = 1119968256.

The previous prime is 1312002077. The next prime is 1312002151. The reversal of 1312002133 is 3312002131.

It is not a de Polignac number, because 1312002133 - 2¹⁷ = 1311871061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312002163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250193 + ... + 1251241.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^1312002133 is an apocalyptic number.

1312002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1312002133 is a deficient number, since it is larger than the sum of its proper divisors (212093867).

1312002133 is a wasteful number, since it uses less digits than its factorization.

1312002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1312002133 is about 36221.5699963433. The cubic root of 1312002133 is about 1094.7413282221.

Adding to 1312002133 its reverse (3312002131), we get a palindrome (4624004264).

The spelling of 1312002133 in words is "one billion, three hundred twelve million, two thousand, one hundred thirty-three".