31132101321 has 6 divisors (see below), whose sum is σ = 44968590810. Its totient is φ = 20754734208.

The previous prime is 31132101311. The next prime is 31132101353. The reversal of 31132101321 is 12310123113.

31132101321 is a `hidden beast` number, since 311 + 32 + 1 + 0 + 1 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29951148096 + 1180953225 = 173064^2 + 34365^2 .

It is not a de Polignac number, because 31132101321 - 2⁵ = 31132101289 is a prime.

It is a super-2 number, since 2×31132101321² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31132101294 and 31132101303.

It is not an unprimeable number, because it can be changed into a prime (31132101311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1729561176 + ... + 1729561193.

It is an arithmetic number, because the mean of its divisors is an integer number (7494765135).

Almost surely, 2^31132101321 is an apocalyptic number.

It is an amenable number.

31132101321 is a deficient number, since it is larger than the sum of its proper divisors (13836489489).

31132101321 is a wasteful number, since it uses less digits than its factorization.

31132101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459122375 (or 3459122372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31132101321 its reverse (12310123113), we get a palindrome (43442224434).

The spelling of 31132101321 in words is "thirty-one billion, one hundred thirty-two million, one hundred one thousand, three hundred twenty-one".