31312121103200 has 144 divisors (see below), whose sum is σ = 87496692353280. Its totient is φ = 10718887057920.

The previous prime is 31312121103163. The next prime is 31312121103227. The reversal of 31312121103200 is 230112121313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 747140 + ... + 7948739.

It is an arithmetic number, because the mean of its divisors is an integer number (607615919120).

Almost surely, 2^{31312121103200} 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 31312121103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43748346176640).

31312121103200 is an abundant number, since it is smaller than the sum of its proper divisors (56184571250080).

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

31312121103200 is a wasteful number, since it uses less digits than its factorization.

31312121103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696549 (or 8696536 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31312121103200 its reverse (230112121313), we get a palindrome (31542233224513).

The spelling of 31312121103200 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-one million, one hundred three thousand, two hundred".