2000135192113 has 2 divisors, whose sum is σ = 2000135192114. Its totient is φ = 2000135192112.

The previous prime is 2000135192071. The next prime is 2000135192123. The reversal of 2000135192113 is 3112915310002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1717273960704 + 282861231409 = 1310448^2 + 531847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000135192113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000135192123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000067596056 + 1000067596057.

It is an arithmetic number, because the mean of its divisors is an integer number (1000067596057).

Almost surely, 2^{2000135192113} is an apocalyptic number.

It is an amenable number.

2000135192113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000135192113 is an equidigital number, since it uses as much as digits as its factorization.

2000135192113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 2000135192113 in words is "two trillion, one hundred thirty-five million, one hundred ninety-two thousand, one hundred thirteen".