313928010001 has 2 divisors, whose sum is σ = 313928010002. Its totient is φ = 313928010000.

The previous prime is 313928009963. The next prime is 313928010059. The reversal of 313928010001 is 100010829313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252511275025 + 61416734976 = 502505^2 + 247824^2 .

It is an emirp because it is prime and its reverse (100010829313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313928010001 - 2³⁷ = 176489056529 is a prime.

It is not a weakly prime, because it can be changed into another prime (313928013001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156964005000 + 156964005001.

It is an arithmetic number, because the mean of its divisors is an integer number (156964005001).

Almost surely, 2^313928010001 is an apocalyptic number.

It is an amenable number.

313928010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313928010001 is an equidigital number, since it uses as much as digits as its factorization.

313928010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 313928010001 its reverse (100010829313), we get a palindrome (413938839314).

The spelling of 313928010001 in words is "three hundred thirteen billion, nine hundred twenty-eight million, ten thousand, one".