10000133010137 has 2 divisors, whose sum is σ = 10000133010138. Its totient is φ = 10000133010136.

The previous prime is 10000133010061. The next prime is 10000133010157. The reversal of 10000133010137 is 73101033100001.

It is an a-pointer prime, because the next prime (10000133010157) can be obtained adding 10000133010137 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7470032394496 + 2530100615641 = 2733136^2 + 1590629^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000133010137 - 2¹⁸ = 10000132747993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000133010157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000066505068 + 5000066505069.

It is an arithmetic number, because the mean of its divisors is an integer number (5000066505069).

Almost surely, 2^{10000133010137} is an apocalyptic number.

It is an amenable number.

10000133010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000133010137 is an equidigital number, since it uses as much as digits as its factorization.

10000133010137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 10000133010137 its reverse (73101033100001), we get a palindrome (83101166110138).

The spelling of 10000133010137 in words is "ten trillion, one hundred thirty-three million, ten thousand, one hundred thirty-seven".