31123320232032 has 288 divisors, whose sum is σ = 101365976904192. Its totient is φ = 8873472540672.

The previous prime is 31123320231977. The next prime is 31123320232051. The reversal of 31123320232032 is 23023202332113.

31123320232032 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 332 + 0 + 2 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×31123320232032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31123320231987 and 31123320232005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4982119533 + ... + 4982125779.

It is an arithmetic number, because the mean of its divisors is an integer number (351965197584).

Almost surely, 2^{31123320232032} is an apocalyptic number.

31123320232032 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 31123320232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50682988452096).

31123320232032 is an abundant number, since it is smaller than the sum of its proper divisors (70242656672160).

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

31123320232032 is a wasteful number, since it uses less digits than its factorization.

31123320232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11119 counting only the distinct ones).

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

Adding to 31123320232032 its reverse (23023202332113), we get a palindrome (54146522564145).

The spelling of 31123320232032 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred twenty million, two hundred thirty-two thousand, thirty-two".