10023312133032 has 64 divisors (see below), whose sum is σ = 27338365080000. Its totient is φ = 3037138506240.

The previous prime is 10023312133007. The next prime is 10023312133033. The reversal of 10023312133032 is 23033121332001.

It is a super-2 number, since 2×10023312133032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10023312132993 and 10023312133011.

It is not an unprimeable number, because it can be changed into a prime (10023312133033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2097594 + ... + 4944342.

It is an arithmetic number, because the mean of its divisors is an integer number (427161954375).

Almost surely, 2^{10023312133032} is an apocalyptic number.

10023312133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023312133032 is an abundant number, since it is smaller than the sum of its proper divisors (17315052946968).

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

10023312133032 is a wasteful number, since it uses less digits than its factorization.

10023312133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860106 (or 2860102 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10023312133032 its reverse (23033121332001), we get a palindrome (33056433465033).

The spelling of 10023312133032 in words is "ten trillion, twenty-three billion, three hundred twelve million, one hundred thirty-three thousand, thirty-two".