101317311401 has 2 divisors, whose sum is σ = 101317311402. Its totient is φ = 101317311400.

The previous prime is 101317311367. The next prime is 101317311409. The reversal of 101317311401 is 104113713101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57253004176 + 44064307225 = 239276^2 + 209915^2 .

It is a cyclic number.

It is not a de Polignac number, because 101317311401 - 2¹⁰ = 101317310377 is a prime.

It is not a weakly prime, because it can be changed into another prime (101317311409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50658655700 + 50658655701.

It is an arithmetic number, because the mean of its divisors is an integer number (50658655701).

Almost surely, 2^101317311401 is an apocalyptic number.

It is an amenable number.

101317311401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101317311401 is an equidigital number, since it uses as much as digits as its factorization.

101317311401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 101317311401 in words is "one hundred one billion, three hundred seventeen million, three hundred eleven thousand, four hundred one".