31332121120032 has 48 divisors (see below), whose sum is σ = 82590946945920. Its totient is φ = 10400341452032.

The previous prime is 31332121120031. The next prime is 31332121120039. The reversal of 31332121120032 is 23002112123313.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 31332121119984 and 31332121120011.

It is not an unprimeable number, because it can be changed into a prime (31332121120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682772583 + ... + 682818470.

It is an arithmetic number, because the mean of its divisors is an integer number (1720644728040).

Almost surely, 2^{31332121120032} is an apocalyptic number.

31332121120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31332121120032 is an abundant number, since it is smaller than the sum of its proper divisors (51258825825888).

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

31332121120032 is a wasteful number, since it uses less digits than its factorization.

31332121120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365591305 (or 1365591297 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31332121120032 its reverse (23002112123313), we get a palindrome (54334233243345).

The spelling of 31332121120032 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred twenty-one million, one hundred twenty thousand, thirty-two".