10645256100133 has 2 divisors, whose sum is σ = 10645256100134. Its totient is φ = 10645256100132.

The previous prime is 10645256100103. The next prime is 10645256100161. The reversal of 10645256100133 is 33100165254601.

10645256100133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8821951411329 + 1823304688804 = 2970177^2 + 1350298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10645256100133 is a prime.

It is a super-2 number, since 2×10645256100133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645256100092 and 10645256100101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10645256100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5322628050066 + 5322628050067.

It is an arithmetic number, because the mean of its divisors is an integer number (5322628050067).

Almost surely, 2^{10645256100133} is an apocalyptic number.

It is an amenable number.

10645256100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10645256100133 is an equidigital number, since it uses as much as digits as its factorization.

10645256100133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 10645256100133 in words is "ten trillion, six hundred forty-five billion, two hundred fifty-six million, one hundred thousand, one hundred thirty-three".