31132212100 has 72 divisors (see below), whose sum is σ = 73735468128. Its totient is φ = 11315116800.

The previous prime is 31132212091. The next prime is 31132212121. The reversal of 31132212100 is 121223113.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2626387 + ... + 2638213.

It is an arithmetic number, because the mean of its divisors is an integer number (1024103724).

Almost surely, 2^31132212100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36867734064).

31132212100 is an abundant number, since it is smaller than the sum of its proper divisors (42603256028).

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

31132212100 is a wasteful number, since it uses less digits than its factorization.

31132212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245 (or 14238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31132212100 its reverse (121223113), we get a palindrome (31253435213).

The spelling of 31132212100 in words is "thirty-one billion, one hundred thirty-two million, two hundred twelve thousand, one hundred".