314031432102337 has 2 divisors, whose sum is σ = 314031432102338. Its totient is φ = 314031432102336.

The previous prime is 314031432102299. The next prime is 314031432102463. The reversal of 314031432102337 is 733201234130413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218448429560001 + 95583002542336 = 14780001^2 + 9776656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314031432102337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314031432102296 and 314031432102305.

It is not a weakly prime, because it can be changed into another prime (314031432162337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157015716051168 + 157015716051169.

It is an arithmetic number, because the mean of its divisors is an integer number (157015716051169).

Almost surely, 2^{314031432102337} is an apocalyptic number.

It is an amenable number.

314031432102337 is a deficient number, since it is larger than the sum of its proper divisors (1).

314031432102337 is an equidigital number, since it uses as much as digits as its factorization.

314031432102337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 37.

The spelling of 314031432102337 in words is "three hundred fourteen trillion, thirty-one billion, four hundred thirty-two million, one hundred two thousand, three hundred thirty-seven".