400201310320313 has 2 divisors, whose sum is σ = 400201310320314. Its totient is φ = 400201310320312.

The previous prime is 400201310320291. The next prime is 400201310320333. The reversal of 400201310320313 is 313023013102004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271800956313769 + 128400354006544 = 16486387^2 + 11331388^2 .

It is a cyclic number.

It is not a de Polignac number, because 400201310320313 - 2⁸ = 400201310320057 is a prime.

It is a super-2 number, since 2×400201310320313² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400201310320333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200100655160156 + 200100655160157.

It is an arithmetic number, because the mean of its divisors is an integer number (200100655160157).

Almost surely, 2^{400201310320313} is an apocalyptic number.

It is an amenable number.

400201310320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

400201310320313 is an equidigital number, since it uses as much as digits as its factorization.

400201310320313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 400201310320313 its reverse (313023013102004), we get a palindrome (713224323422317).

The spelling of 400201310320313 in words is "four hundred trillion, two hundred one billion, three hundred ten million, three hundred twenty thousand, three hundred thirteen".