1312312020300 has 288 divisors, whose sum is σ = 4486683667200. Its totient is φ = 328112363520.

The previous prime is 1312312020289. The next prime is 1312312020307. The reversal of 1312312020300 is 30202132131.

1312312020300 is a `hidden beast` number, since 1 + 31 + 2 + 312 + 0 + 20 + 300 = 666.

It is a super-2 number, since 2×1312312020300² (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 not an unprimeable number, because it can be changed into a prime (1312312020307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4844239 + ... + 5107961.

Almost surely, 2^{1312312020300} is an apocalyptic number.

1312312020300 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 1312312020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243341833600).

1312312020300 is an abundant number, since it is smaller than the sum of its proper divisors (3174371646900).

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

1312312020300 is a wasteful number, since it uses less digits than its factorization.

1312312020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263862 (or 263849 counting only the distinct ones).

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

Adding to 1312312020300 its reverse (30202132131), we get a palindrome (1342514152431).

The spelling of 1312312020300 in words is "one trillion, three hundred twelve billion, three hundred twelve million, twenty thousand, three hundred".