31032131200 has 144 divisors (see below), whose sum is σ = 89175277350. Its totient is φ = 10639534080.

The previous prime is 31032131149. The next prime is 31032131219. The reversal of 31032131200 is 213123013.

It can be written as a sum of positive squares in 3 ways, for example, as 17215539264 + 13816591936 = 131208^2 + 117544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 17 ways as a sum of consecutive naturals, for example, 57846 + ... + 255754.

Almost surely, 2^31032131200 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 31032131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44587638675).

31032131200 is an abundant number, since it is smaller than the sum of its proper divisors (58143146150).

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

31032131200 is a wasteful number, since it uses less digits than its factorization.

31032131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197947 (or 197923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31032131200 its reverse (213123013), we get a palindrome (31245254213).

The spelling of 31032131200 in words is "thirty-one billion, thirty-two million, one hundred thirty-one thousand, two hundred".