10123311010033 has 8 divisors (see below), whose sum is σ = 10908318106728. Its totient is φ = 9339202608384.

The previous prime is 10123311009967. The next prime is 10123311010061. The reversal of 10123311010033 is 33001011332101.

It can be written as a sum of positive squares in 4 ways, for example, as 2647805875264 + 7475505134769 = 1627208^2 + 2734137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10123311010033 is a prime.

It is a super-2 number, since 2×10123311010033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123311010433) 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 7 ways as a sum of consecutive naturals, for example, 224650360 + ... + 224695417.

It is an arithmetic number, because the mean of its divisors is an integer number (1363539763341).

Almost surely, 2^{10123311010033} is an apocalyptic number.

10123311010033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123311010033 is a deficient number, since it is larger than the sum of its proper divisors (785007096695).

10123311010033 is a wasteful number, since it uses less digits than its factorization.

10123311010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449347523.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10123311010033 its reverse (33001011332101), we get a palindrome (43124322342134).

The spelling of 10123311010033 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, ten thousand, thirty-three".