312133130120003 has 2 divisors, whose sum is σ = 312133130120004. Its totient is φ = 312133130120002.

The previous prime is 312133130119973. The next prime is 312133130120027. The reversal of 312133130120003 is 300021031331213.

It is a strong prime.

It is an emirp because it is prime and its reverse (300021031331213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312133130120003 - 2⁸ = 312133130119747 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133130120083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066565060001 + 156066565060002.

It is an arithmetic number, because the mean of its divisors is an integer number (156066565060002).

Almost surely, 2^{312133130120003} is an apocalyptic number.

312133130120003 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133130120003 is an equidigital number, since it uses as much as digits as its factorization.

312133130120003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312133130120003 its reverse (300021031331213), we get a palindrome (612154161451216).

The spelling of 312133130120003 in words is "three hundred twelve trillion, one hundred thirty-three billion, one hundred thirty million, one hundred twenty thousand, three".