10133101020193 has 2 divisors, whose sum is σ = 10133101020194. Its totient is φ = 10133101020192.

The previous prime is 10133101020131. The next prime is 10133101020233. The reversal of 10133101020193 is 39102010133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9976551810624 + 156549209569 = 3158568^2 + 395663^2 .

It is an emirp because it is prime and its reverse (39102010133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10133101020193 - 2²¹ = 10133098923041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133101020893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066550510096 + 5066550510097.

It is an arithmetic number, because the mean of its divisors is an integer number (5066550510097).

Almost surely, 2^{10133101020193} is an apocalyptic number.

It is an amenable number.

10133101020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133101020193 is an equidigital number, since it uses as much as digits as its factorization.

10133101020193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 10133101020193 its reverse (39102010133101), we get a palindrome (49235111153294).

The spelling of 10133101020193 in words is "ten trillion, one hundred thirty-three billion, one hundred one million, twenty thousand, one hundred ninety-three".