312133301423777 has 2 divisors, whose sum is σ = 312133301423778. Its totient is φ = 312133301423776.

The previous prime is 312133301423737. The next prime is 312133301423789. The reversal of 312133301423777 is 777324103331213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310684477547536 + 1448823876241 = 17626244^2 + 1203671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312133301423777 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133301423737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066650711888 + 156066650711889.

It is an arithmetic number, because the mean of its divisors is an integer number (156066650711889).

Almost surely, 2^{312133301423777} is an apocalyptic number.

It is an amenable number.

312133301423777 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133301423777 is an equidigital number, since it uses as much as digits as its factorization.

312133301423777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1333584, while the sum is 47.

The spelling of 312133301423777 in words is "three hundred twelve trillion, one hundred thirty-three billion, three hundred one million, four hundred twenty-three thousand, seven hundred seventy-seven".