2031313120200 has 864 divisors, whose sum is σ = 8777181427560. Its totient is φ = 416992665600.

The previous prime is 2031313120171. The next prime is 2031313120219. The reversal of 2031313120200 is 20213131302.

2031313120200 is a `hidden beast` number, since 2 + 0 + 31 + 313 + 120 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 492964068996 + 1538349051204 = 702114^2 + 1240302^2 .

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

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 215 ways as a sum of consecutive naturals, for example, 42400260 + ... + 42448140.

Almost surely, 2^{2031313120200} is an apocalyptic number.

2031313120200 is a gapful number since it is divisible by the number (20) 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 2031313120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388590713780).

2031313120200 is an abundant number, since it is smaller than the sum of its proper divisors (6745868307360).

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

2031313120200 is a wasteful number, since it uses less digits than its factorization.

2031313120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47967 (or 47948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2031313120200 its reverse (20213131302), we get a palindrome (2051526251502).

The spelling of 2031313120200 in words is "two trillion, thirty-one billion, three hundred thirteen million, one hundred twenty thousand, two hundred".