101543355032113 has 2 divisors, whose sum is σ = 101543355032114. Its totient is φ = 101543355032112.

The previous prime is 101543355032071. The next prime is 101543355032123. The reversal of 101543355032113 is 311230553345101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79613915011569 + 21929440020544 = 8922663^2 + 4682888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101543355032113 is a prime.

It is a super-2 number, since 2×101543355032113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101543355032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50771677516056 + 50771677516057.

It is an arithmetic number, because the mean of its divisors is an integer number (50771677516057).

Almost surely, 2^{101543355032113} is an apocalyptic number.

It is an amenable number.

101543355032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101543355032113 is an equidigital number, since it uses as much as digits as its factorization.

101543355032113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 101543355032113 in words is "one hundred one trillion, five hundred forty-three billion, three hundred fifty-five million, thirty-two thousand, one hundred thirteen".