312000413100977 has 2 divisors, whose sum is σ = 312000413100978. Its totient is φ = 312000413100976.

The previous prime is 312000413100947. The next prime is 312000413100979. The reversal of 312000413100977 is 779001314000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195603049185856 + 116397363915121 = 13985816^2 + 10788761^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000413100977 - 2¹⁴ = 312000413084593 is a prime.

It is a super-3 number, since 3×312000413100977³ (a number of 44 digits) contains 333 as substring.

Together with 312000413100979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312000413100977.

It is not a weakly prime, because it can be changed into another prime (312000413100979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000206550488 + 156000206550489.

It is an arithmetic number, because the mean of its divisors is an integer number (156000206550489).

Almost surely, 2^{312000413100977} is an apocalyptic number.

It is an amenable number.

312000413100977 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000413100977 is an equidigital number, since it uses as much as digits as its factorization.

312000413100977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 312000413100977 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred thousand, nine hundred seventy-seven".