314124231121133 has 2 divisors, whose sum is σ = 314124231121134. Its totient is φ = 314124231121132.

The previous prime is 314124231121121. The next prime is 314124231121159. The reversal of 314124231121133 is 331121132421413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311995628906404 + 2128602214729 = 17663398^2 + 1458973^2 .

It is a cyclic number.

It is not a de Polignac number, because 314124231121133 - 2¹⁶ = 314124231055597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314124231121133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314124231121163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157062115560566 + 157062115560567.

It is an arithmetic number, because the mean of its divisors is an integer number (157062115560567).

Almost surely, 2^{314124231121133} is an apocalyptic number.

It is an amenable number.

314124231121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

314124231121133 is an equidigital number, since it uses as much as digits as its factorization.

314124231121133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 32.

Adding to 314124231121133 its reverse (331121132421413), we get a palindrome (645245363542546).

The spelling of 314124231121133 in words is "three hundred fourteen trillion, one hundred twenty-four billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-three".