10123313010133 has 2 divisors, whose sum is σ = 10123313010134. Its totient is φ = 10123313010132.

The previous prime is 10123313010127. The next prime is 10123313010143. The reversal of 10123313010133 is 33101031332101.

10123313010133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9864737709124 + 258575301009 = 3140818^2 + 508503^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123313010133 - 2²⁹ = 10122776139221 is a prime.

It is a super-2 number, since 2×10123313010133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123313010143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061656505066 + 5061656505067.

It is an arithmetic number, because the mean of its divisors is an integer number (5061656505067).

Almost surely, 2^{10123313010133} is an apocalyptic number.

It is an amenable number.

10123313010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123313010133 is an equidigital number, since it uses as much as digits as its factorization.

10123313010133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10123313010133 its reverse (33101031332101), we get a palindrome (43224344342234).

The spelling of 10123313010133 in words is "ten trillion, one hundred twenty-three billion, three hundred thirteen million, ten thousand, one hundred thirty-three".