331412262214001 has 2 divisors, whose sum is σ = 331412262214002. Its totient is φ = 331412262214000.

The previous prime is 331412262213973. The next prime is 331412262214013. The reversal of 331412262214001 is 100412262214133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326224139928976 + 5188122285025 = 18061676^2 + 2277745^2 .

It is a cyclic number.

It is not a de Polignac number, because 331412262214001 - 2⁴² = 327014215702897 is a prime.

It is not a weakly prime, because it can be changed into another prime (331412262214081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165706131107000 + 165706131107001.

It is an arithmetic number, because the mean of its divisors is an integer number (165706131107001).

Almost surely, 2^{331412262214001} is an apocalyptic number.

It is an amenable number.

331412262214001 is a deficient number, since it is larger than the sum of its proper divisors (1).

331412262214001 is an equidigital number, since it uses as much as digits as its factorization.

331412262214001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 331412262214001 in words is "three hundred thirty-one trillion, four hundred twelve billion, two hundred sixty-two million, two hundred fourteen thousand, one".