3320013011257 has 2 divisors, whose sum is σ = 3320013011258. Its totient is φ = 3320013011256.

The previous prime is 3320013011197. The next prime is 3320013011299. The reversal of 3320013011257 is 7521103100233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2581150707216 + 738862304041 = 1606596^2 + 859571^2 .

It is a cyclic number.

It is not a de Polignac number, because 3320013011257 - 2⁷ = 3320013011129 is a prime.

It is a super-2 number, since 2×3320013011257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3320013011057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660006505628 + 1660006505629.

It is an arithmetic number, because the mean of its divisors is an integer number (1660006505629).

Almost surely, 2^{3320013011257} is an apocalyptic number.

It is an amenable number.

3320013011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3320013011257 is an equidigital number, since it uses as much as digits as its factorization.

3320013011257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 3320013011257 in words is "three trillion, three hundred twenty billion, thirteen million, eleven thousand, two hundred fifty-seven".