312000413101019 has 2 divisors, whose sum is σ = 312000413101020. Its totient is φ = 312000413101018.

The previous prime is 312000413100979. The next prime is 312000413101021. The reversal of 312000413101019 is 910101314000213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312000413101019 is a prime.

It is a super-2 number, since 2×312000413101019² (a number of 30 digits) contains 22 as substring.

Together with 312000413101021, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312000413101319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000206550509 + 156000206550510.

It is an arithmetic number, because the mean of its divisors is an integer number (156000206550510).

Almost surely, 2^{312000413101019} is an apocalyptic number.

312000413101019 is a deficient number, since it is larger than the sum of its proper divisors (1).

312000413101019 is an equidigital number, since it uses as much as digits as its factorization.

312000413101019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 312000413101019 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand, nineteen".