31123212322320 has 60 divisors (see below), whose sum is σ = 104522121384876. Its totient is φ = 8299523285760.

The previous prime is 31123212322297. The next prime is 31123212322357. The reversal of 31123212322320 is 2322321232113.

31123212322320 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 3 + 2 + 12 + 322 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3148041129984 + 27975171192336 = 1774272^2 + 5289156^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×31123212322320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21613341171 + ... + 21613342610.

Almost surely, 2^{31123212322320} is an apocalyptic number.

31123212322320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31123212322320 is an abundant number, since it is smaller than the sum of its proper divisors (73398909062556).

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

31123212322320 is a wasteful number, since it uses less digits than its factorization.

31123212322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43226683800 (or 43226683791 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31123212322320 its reverse (2322321232113), we get a palindrome (33445533554433).

The spelling of 31123212322320 in words is "thirty-one trillion, one hundred twenty-three billion, two hundred twelve million, three hundred twenty-two thousand, three hundred twenty".