10312653410033 has 48 divisors (see below), whose sum is σ = 12213930390480. Its totient is φ = 8643801987072.

The previous prime is 10312653410027. The next prime is 10312653410093. The reversal of 10312653410033 is 33001435621301.

It can be written as a sum of positive squares in 8 ways, for example, as 1233447908449 + 9079205501584 = 1110607^2 + 3013172^2 .

It is not a de Polignac number, because 10312653410033 - 2²⁶ = 10312586301169 is a prime.

It is a super-2 number, since 2×10312653410033² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10312653410093) 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 in 47 ways as a sum of consecutive naturals, for example, 18368741 + ... + 18921837.

It is an arithmetic number, because the mean of its divisors is an integer number (254456883135).

Almost surely, 2^{10312653410033} is an apocalyptic number.

10312653410033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10312653410033 is a deficient number, since it is larger than the sum of its proper divisors (1901276980447).

10312653410033 is a wasteful number, since it uses less digits than its factorization.

10312653410033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553314 (or 553295 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 10312653410033 in words is "ten trillion, three hundred twelve billion, six hundred fifty-three million, four hundred ten thousand, thirty-three".