31321100321 has 24 divisors (see below), whose sum is σ = 37730948904. Its totient is φ = 25908180480.

The previous prime is 31321100257. The next prime is 31321100353. The reversal of 31321100321 is 12300112313.

It can be written as a sum of positive squares in 4 ways, for example, as 384160000 + 30936940321 = 19600^2 + 175889^2 .

It is not a de Polignac number, because 31321100321 - 2⁶ = 31321100257 is a prime.

It is a super-2 number, since 2×31321100321² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31321100321.

It is not an unprimeable number, because it can be changed into a prime (31321100381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59561 + ... + 257273.

It is an arithmetic number, because the mean of its divisors is an integer number (1572122871).

Almost surely, 2^31321100321 is an apocalyptic number.

It is an amenable number.

31321100321 is a deficient number, since it is larger than the sum of its proper divisors (6409848583).

31321100321 is a wasteful number, since it uses less digits than its factorization.

31321100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197841 (or 197834 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31321100321 its reverse (12300112313), we get a palindrome (43621212634).

The spelling of 31321100321 in words is "thirty-one billion, three hundred twenty-one million, one hundred thousand, three hundred twenty-one".