10061106113 has 2 divisors, whose sum is σ = 10061106114. Its totient is φ = 10061106112.

The previous prime is 10061106061. The next prime is 10061106137. The reversal of 10061106113 is 31160116001.

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., 9527126449 + 533979664 = 97607^2 + 23108^2 .

It is a cyclic number.

It is not a de Polignac number, because 10061106113 - 2¹⁴ = 10061089729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10061106313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030553056 + 5030553057.

It is an arithmetic number, because the mean of its divisors is an integer number (5030553057).

Almost surely, 2^10061106113 is an apocalyptic number.

It is an amenable number.

10061106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061106113 is an equidigital number, since it uses as much as digits as its factorization.

10061106113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10061106113 in words is "ten billion, sixty-one million, one hundred six thousand, one hundred thirteen".