1312000033 has 2 divisors, whose sum is σ = 1312000034. Its totient is φ = 1312000032.

The previous prime is 1312000031. The next prime is 1312000061. The reversal of 1312000033 is 3300002131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000583424 + 311416609 = 31632^2 + 17647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312000033 - 2¹ = 1312000031 is a prime.

Together with 1312000031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1311999977 and 1312000022.

It is not a weakly prime, because it can be changed into another prime (1312000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656000016 + 656000017.

It is an arithmetic number, because the mean of its divisors is an integer number (656000017).

Almost surely, 2^1312000033 is an apocalyptic number.

It is an amenable number.

1312000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312000033 is an equidigital number, since it uses as much as digits as its factorization.

1312000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1312000033 is about 36221.5410080797. The cubic root of 1312000033 is about 1094.7407441382.

Adding to 1312000033 its reverse (3300002131), we get a palindrome (4612002164).

The spelling of 1312000033 in words is "one billion, three hundred twelve million, thirty-three", and thus it is an aban number.