20133100013177 has 2 divisors, whose sum is σ = 20133100013178. Its totient is φ = 20133100013176.

The previous prime is 20133100013111. The next prime is 20133100013207. The reversal of 20133100013177 is 77131000133102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15685488961081 + 4447611052096 = 3960491^2 + 2108936^2 .

It is a cyclic number.

It is not a de Polignac number, because 20133100013177 - 2¹⁰ = 20133100012153 is a prime.

It is a super-2 number, since 2×20133100013177² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20133100015177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066550006588 + 10066550006589.

It is an arithmetic number, because the mean of its divisors is an integer number (10066550006589).

Almost surely, 2^{20133100013177} is an apocalyptic number.

It is an amenable number.

20133100013177 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133100013177 is an equidigital number, since it uses as much as digits as its factorization.

20133100013177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 29.

Adding to 20133100013177 its reverse (77131000133102), we get a palindrome (97264100146279).

The spelling of 20133100013177 in words is "twenty trillion, one hundred thirty-three billion, one hundred million, thirteen thousand, one hundred seventy-seven".