10023032333132 has 216 divisors, whose sum is σ = 23090169414816. Its totient is φ = 3786960393216.

The previous prime is 10023032333129. The next prime is 10023032333147. The reversal of 10023032333132 is 23133323032001.

It is a happy number.

It is a super-2 number, since 2×10023032333132² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 515764088 + ... + 515783520.

It is an arithmetic number, because the mean of its divisors is an integer number (106898932476).

Almost surely, 2^{10023032333132} 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 10023032333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545084707408).

10023032333132 is an abundant number, since it is smaller than the sum of its proper divisors (13067137081684).

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

10023032333132 is a wasteful number, since it uses less digits than its factorization.

10023032333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20155 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 10023032333132 its reverse (23133323032001), we get a palindrome (33156355365133).

The spelling of 10023032333132 in words is "ten trillion, twenty-three billion, thirty-two million, three hundred thirty-three thousand, one hundred thirty-two".