320330331010957 has 2 divisors, whose sum is σ = 320330331010958. Its totient is φ = 320330331010956.

The previous prime is 320330331010871. The next prime is 320330331011023. The reversal of 320330331010957 is 759010133033023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231013674349956 + 89316656661001 = 15199134^2 + 9450749^2 .

It is an emirp because it is prime and its reverse (759010133033023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320330331010957 - 2⁴³ = 311534237988749 is a prime.

It is a super-4 number, since 4×320330331010957⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320330331019957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160165165505478 + 160165165505479.

It is an arithmetic number, because the mean of its divisors is an integer number (160165165505479).

Almost surely, 2^{320330331010957} is an apocalyptic number.

It is an amenable number.

320330331010957 is a deficient number, since it is larger than the sum of its proper divisors (1).

320330331010957 is an equidigital number, since it uses as much as digits as its factorization.

320330331010957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 153090, while the sum is 40.

The spelling of 320330331010957 in words is "three hundred twenty trillion, three hundred thirty billion, three hundred thirty-one million, ten thousand, nine hundred fifty-seven".