312000413121193 has 2 divisors, whose sum is σ = 312000413121194. Its totient is φ = 312000413121192.

The previous prime is 312000413121091. The next prime is 312000413121211. The reversal of 312000413121193 is 391121314000213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238239317610009 + 73761095511184 = 15435003^2 + 8588428^2 .

It is a cyclic number.

It is not a de Polignac number, because 312000413121193 - 2⁹ = 312000413120681 is a prime.

It is a super-2 number, since 2×312000413121193² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312000413131193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000206560596 + 156000206560597.

It is an arithmetic number, because the mean of its divisors is an integer number (156000206560597).

Almost surely, 2^{312000413121193} is an apocalyptic number.

It is an amenable number.

312000413121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000413121193 is an equidigital number, since it uses as much as digits as its factorization.

312000413121193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 312000413121193 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred twenty-one thousand, one hundred ninety-three".