23302131322032 has 160 divisors (see below), whose sum is σ = 67822651016960. Its totient is φ = 7658640253440.

The previous prime is 23302131322021. The next prime is 23302131322109. The reversal of 23302131322032 is 23022313120332.

23302131322032 is a `hidden beast` number, since 2 + 3 + 302 + 1 + 3 + 1 + 322 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23302131321987 and 23302131322005.

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 31 ways as a sum of consecutive naturals, for example, 104935503 + ... + 105157329.

It is an arithmetic number, because the mean of its divisors is an integer number (423891568856).

Almost surely, 2^{23302131322032} 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 23302131322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33911325508480).

23302131322032 is an abundant number, since it is smaller than the sum of its proper divisors (44520519694928).

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

23302131322032 is a wasteful number, since it uses less digits than its factorization.

23302131322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225248 (or 225236 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23302131322032 its reverse (23022313120332), we get a palindrome (46324444442364).

The spelling of 23302131322032 in words is "twenty-three trillion, three hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand, thirty-two".