10123133203232 has 144 divisors (see below), whose sum is σ = 23275785389472. Its totient is φ = 4321282452480.

The previous prime is 10123133203213. The next prime is 10123133203237. The reversal of 10123133203232 is 23230233132101.

It is not an unprimeable number, because it can be changed into a prime (10123133203237) 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 23 ways as a sum of consecutive naturals, for example, 1629868607 + ... + 1629874817.

It is an arithmetic number, because the mean of its divisors is an integer number (161637398538).

Almost surely, 2^{10123133203232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123133203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637892694736).

10123133203232 is an abundant number, since it is smaller than the sum of its proper divisors (13152652186240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10123133203232 is a wasteful number, since it uses less digits than its factorization.

10123133203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10191 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10123133203232 its reverse (23230233132101), we get a palindrome (33353366335333).

The spelling of 10123133203232 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-three million, two hundred three thousand, two hundred thirty-two".