31312131300 has 216 divisors, whose sum is σ = 101568186720. Its totient is φ = 8063193600.

The previous prime is 31312131289. The next prime is 31312131307. The reversal of 31312131300 is 313121313.

It is a happy number.

31312131300 is a `hidden beast` number, since 313 + 1 + 21 + 31 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31312131307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3439755 + ... + 3448845.

Almost surely, 2^31312131300 is an apocalyptic number.

31312131300 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 31312131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50784093360).

31312131300 is an abundant number, since it is smaller than the sum of its proper divisors (70256055420).

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

31312131300 is a wasteful number, since it uses less digits than its factorization.

31312131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9243 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31312131300 its reverse (313121313), we get a palindrome (31625252613).

31312131300 divided by its reverse (313121313) gives a square (100 = 10²).

The spelling of 31312131300 in words is "thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred".