1312310032200 has 144 divisors (see below), whose sum is σ = 4414367754420. Its totient is φ = 349378168320.

The previous prime is 1312310032199. The next prime is 1312310032213. The reversal of 1312310032200 is 22300132131.

1312310032200 is a `hidden beast` number, since 1 + 31 + 2 + 310 + 0 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23753590884 + 1288556441316 = 154122^2 + 1135146^2 .

It is a super-2 number, since 2×1312310032200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 508734 + ... + 1698066.

Almost surely, 2^{1312310032200} is an apocalyptic number.

1312310032200 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 1312310032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207183877210).

1312310032200 is an abundant number, since it is smaller than the sum of its proper divisors (3102057722220).

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

1312310032200 is a wasteful number, since it uses less digits than its factorization.

1312310032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189968 (or 1189956 counting only the distinct ones).

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

Adding to 1312310032200 its reverse (22300132131), we get a palindrome (1334610164331).

The spelling of 1312310032200 in words is "one trillion, three hundred twelve billion, three hundred ten million, thirty-two thousand, two hundred".