10600610110513 has 2 divisors, whose sum is σ = 10600610110514. Its totient is φ = 10600610110512.

The previous prime is 10600610110501. The next prime is 10600610110681. The reversal of 10600610110513 is 31501101600601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9615252117409 + 985357993104 = 3100847^2 + 992652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10600610110513 - 2¹⁷ = 10600609979441 is a prime.

It is a super-2 number, since 2×10600610110513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10600610110313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5300305055256 + 5300305055257.

It is an arithmetic number, because the mean of its divisors is an integer number (5300305055257).

Almost surely, 2^{10600610110513} is an apocalyptic number.

It is an amenable number.

10600610110513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10600610110513 is an equidigital number, since it uses as much as digits as its factorization.

10600610110513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 10600610110513 in words is "ten trillion, six hundred billion, six hundred ten million, one hundred ten thousand, five hundred thirteen".