31130113200 has 240 divisors, whose sum is σ = 103335576576. Its totient is φ = 8002483200.

The previous prime is 31130113187. The next prime is 31130113237. The reversal of 31130113200 is 231103113.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31130113200.

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 47 ways as a sum of consecutive naturals, for example, 10526122 + ... + 10529078.

Almost surely, 2^31130113200 is an apocalyptic number.

31130113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667788288).

31130113200 is an abundant number, since it is smaller than the sum of its proper divisors (72205463376).

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

31130113200 is a wasteful number, since it uses less digits than its factorization.

31130113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31130113200 its reverse (231103113), we get a palindrome (31361216313).

The spelling of 31130113200 in words is "thirty-one billion, one hundred thirty million, one hundred thirteen thousand, two hundred".