10356117534401 has 2 divisors, whose sum is σ = 10356117534402. Its totient is φ = 10356117534400.

The previous prime is 10356117534359. The next prime is 10356117534431. The reversal of 10356117534401 is 10443571165301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8259008074801 + 2097109459600 = 2873849^2 + 1448140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10356117534401 - 2¹⁴ = 10356117518017 is a prime.

It is a super-3 number, since 3×10356117534401³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10356117534431) 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, 5178058767200 + 5178058767201.

It is an arithmetic number, because the mean of its divisors is an integer number (5178058767201).

Almost surely, 2^{10356117534401} is an apocalyptic number.

It is an amenable number.

10356117534401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10356117534401 is an equidigital number, since it uses as much as digits as its factorization.

10356117534401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 41.

Adding to 10356117534401 its reverse (10443571165301), we get a palindrome (20799688699702).

The spelling of 10356117534401 in words is "ten trillion, three hundred fifty-six billion, one hundred seventeen million, five hundred thirty-four thousand, four hundred one".