312001142101409 has 2 divisors, whose sum is σ = 312001142101410. Its totient is φ = 312001142101408.

The previous prime is 312001142101391. The next prime is 312001142101421. The reversal of 312001142101409 is 904101241100213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215487808327009 + 96513333774400 = 14679503^2 + 9824120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312001142101409 is a prime.

It is a super-2 number, since 2×312001142101409² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312001142101469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000571050704 + 156000571050705.

It is an arithmetic number, because the mean of its divisors is an integer number (156000571050705).

Almost surely, 2^{312001142101409} is an apocalyptic number.

It is an amenable number.

312001142101409 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001142101409 is an equidigital number, since it uses as much as digits as its factorization.

312001142101409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 312001142101409 in words is "three hundred twelve trillion, one billion, one hundred forty-two million, one hundred one thousand, four hundred nine".