10133120020417 has 2 divisors, whose sum is σ = 10133120020418. Its totient is φ = 10133120020416.

The previous prime is 10133120020381. The next prime is 10133120020421. The reversal of 10133120020417 is 71402002133101.

10133120020417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9771775968256 + 361344052161 = 3125984^2 + 601119^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133120020417 - 2¹¹ = 10133120018369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133120020391 and 10133120020400.

It is not a weakly prime, because it can be changed into another prime (10133120020477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066560010208 + 5066560010209.

It is an arithmetic number, because the mean of its divisors is an integer number (5066560010209).

Almost surely, 2^{10133120020417} is an apocalyptic number.

It is an amenable number.

10133120020417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133120020417 is an equidigital number, since it uses as much as digits as its factorization.

10133120020417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10133120020417 its reverse (71402002133101), we get a palindrome (81535122153518).

The spelling of 10133120020417 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty million, twenty thousand, four hundred seventeen".