1032313120200 has 288 divisors, whose sum is σ = 3568282061760. Its totient is φ = 267261811200.

The previous prime is 1032313120169. The next prime is 1032313120207. The reversal of 1032313120200 is 20213132301.

1032313120200 is a `hidden beast` number, since 1 + 0 + 32 + 313 + 120 + 200 = 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 (1032313120207) 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, 31085605 + ... + 31118795.

It is an arithmetic number, because the mean of its divisors is an integer number (12389868270).

Almost surely, 2^{1032313120200} is an apocalyptic number.

1032313120200 is a gapful number since it is divisible by the number (10) 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 1032313120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784141030880).

1032313120200 is an abundant number, since it is smaller than the sum of its proper divisors (2535968941560).

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

1032313120200 is a wasteful number, since it uses less digits than its factorization.

1032313120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33717 (or 33705 counting only the distinct ones).

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

Adding to 1032313120200 its reverse (20213132301), we get a palindrome (1052526252501).

The spelling of 1032313120200 in words is "one trillion, thirty-two billion, three hundred thirteen million, one hundred twenty thousand, two hundred".