10131410034401 has 2 divisors, whose sum is σ = 10131410034402. Its totient is φ = 10131410034400.

The previous prime is 10131410034391. The next prime is 10131410034407. The reversal of 10131410034401 is 10443001413101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9592654034401 + 538756000000 = 3097201^2 + 734000^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131410034401 - 2¹⁴ = 10131410018017 is a prime.

It is a super-2 number, since 2×10131410034401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10131410034407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065705017200 + 5065705017201.

It is an arithmetic number, because the mean of its divisors is an integer number (5065705017201).

Almost surely, 2^{10131410034401} is an apocalyptic number.

It is an amenable number.

10131410034401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131410034401 is an equidigital number, since it uses as much as digits as its factorization.

10131410034401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10131410034401 its reverse (10443001413101), we get a palindrome (20574411447502).

The spelling of 10131410034401 in words is "ten trillion, one hundred thirty-one billion, four hundred ten million, thirty-four thousand, four hundred one".