10033123321123 has 32 divisors (see below), whose sum is σ = 11549201190912. Its totient is φ = 8538004260000.

The previous prime is 10033123321103. The next prime is 10033123321159. The reversal of 10033123321123 is 32112332133001.

It is a cyclic number.

It is not a de Polignac number, because 10033123321123 - 2⁹ = 10033123320611 is a prime.

It is a super-2 number, since 2×10033123321123² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10033123321103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745230090 + ... + 745243552.

It is an arithmetic number, because the mean of its divisors is an integer number (360912537216).

Almost surely, 2^{10033123321123} is an apocalyptic number.

10033123321123 is a deficient number, since it is larger than the sum of its proper divisors (1516077869789).

10033123321123 is a wasteful number, since it uses less digits than its factorization.

10033123321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10033123321123 its reverse (32112332133001), we get a palindrome (42145455454124).

The spelling of 10033123321123 in words is "ten trillion, thirty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-three".