314330413337 has 2 divisors, whose sum is σ = 314330413338. Its totient is φ = 314330413336.

The previous prime is 314330413283. The next prime is 314330413357. The reversal of 314330413337 is 733314033413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287214533776 + 27115879561 = 535924^2 + 164669^2 .

It is a cyclic number.

It is not a de Polignac number, because 314330413337 - 2¹⁴ = 314330396953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314330413297 and 314330413306.

It is not a weakly prime, because it can be changed into another prime (314330413357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157165206668 + 157165206669.

It is an arithmetic number, because the mean of its divisors is an integer number (157165206669).

Almost surely, 2^314330413337 is an apocalyptic number.

It is an amenable number.

314330413337 is a deficient number, since it is larger than the sum of its proper divisors (1).

314330413337 is an equidigital number, since it uses as much as digits as its factorization.

314330413337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 35.

The spelling of 314330413337 in words is "three hundred fourteen billion, three hundred thirty million, four hundred thirteen thousand, three hundred thirty-seven".