401101413121393 has 2 divisors, whose sum is σ = 401101413121394. Its totient is φ = 401101413121392.

The previous prime is 401101413121369. The next prime is 401101413121417. The reversal of 401101413121393 is 393121314101104.

It is a balanced prime because it is at equal distance from previous prime (401101413121369) and next prime (401101413121417).

It can be written as a sum of positive squares in only one way, i.e., 317088643562289 + 84012769559104 = 17806983^2 + 9165848^2 .

It is a cyclic number.

It is not a de Polignac number, because 401101413121393 - 2³⁷ = 400963974167921 is a prime.

It is not a weakly prime, because it can be changed into another prime (401101413121303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200550706560696 + 200550706560697.

It is an arithmetic number, because the mean of its divisors is an integer number (200550706560697).

Almost surely, 2^{401101413121393} is an apocalyptic number.

It is an amenable number.

401101413121393 is a deficient number, since it is larger than the sum of its proper divisors (1).

401101413121393 is an equidigital number, since it uses as much as digits as its factorization.

401101413121393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

Adding to 401101413121393 its reverse (393121314101104), we get a palindrome (794222727222497).

The spelling of 401101413121393 in words is "four hundred one trillion, one hundred one billion, four hundred thirteen million, one hundred twenty-one thousand, three hundred ninety-three".