312000413101121 has 2 divisors, whose sum is σ = 312000413101122. Its totient is φ = 312000413101120.

The previous prime is 312000413101073. The next prime is 312000413101141. The reversal of 312000413101121 is 121101314000213.

It is an a-pointer prime, because the next prime (312000413101141) can be obtained adding 312000413101121 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230640716659600 + 81359696441521 = 15186860^2 + 9019961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312000413101121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312000413101093 and 312000413101102.

It is not a weakly prime, because it can be changed into another prime (312000413101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000206550560 + 156000206550561.

It is an arithmetic number, because the mean of its divisors is an integer number (156000206550561).

Almost surely, 2^{312000413101121} is an apocalyptic number.

It is an amenable number.

312000413101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000413101121 is an equidigital number, since it uses as much as digits as its factorization.

312000413101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 312000413101121 its reverse (121101314000213), we get a palindrome (433101727101334).

The spelling of 312000413101121 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand, one hundred twenty-one".