31123300032 has 168 divisors, whose sum is σ = 100924229952. Its totient is φ = 9431251200.

The previous prime is 31123299997. The next prime is 31123300073. The reversal of 31123300032 is 23000332113.

31123300032 is a `hidden beast` number, since 311 + 23 + 300 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31123299978 and 31123300014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80107 + ... + 262037.

It is an arithmetic number, because the mean of its divisors is an integer number (600739464).

Almost surely, 2^31123300032 is an apocalyptic number.

31123300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50462114976).

31123300032 is an abundant number, since it is smaller than the sum of its proper divisors (69800929920).

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

31123300032 is a wasteful number, since it uses less digits than its factorization.

31123300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181969 (or 181947 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31123300032 its reverse (23000332113), we get a palindrome (54123632145).

The spelling of 31123300032 in words is "thirty-one billion, one hundred twenty-three million, three hundred thousand, thirty-two".