312141404080157 has 2 divisors, whose sum is σ = 312141404080158. Its totient is φ = 312141404080156.

The previous prime is 312141404080097. The next prime is 312141404080199. The reversal of 312141404080157 is 751080404141213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220415177260996 + 91726226819161 = 14846386^2 + 9577381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312141404080157 is a prime.

It is a super-2 number, since 2×312141404080157² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141404089157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070702040078 + 156070702040079.

It is an arithmetic number, because the mean of its divisors is an integer number (156070702040079).

Almost surely, 2^{312141404080157} is an apocalyptic number.

It is an amenable number.

312141404080157 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141404080157 is an equidigital number, since it uses as much as digits as its factorization.

312141404080157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 312141404080157 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, eighty thousand, one hundred fifty-seven".