1312100213200 has 120 divisors (see below), whose sum is σ = 3608225523072. Its totient is φ = 449167004160.

The previous prime is 1312100213191. The next prime is 1312100213239. The reversal of 1312100213200 is 23120012131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1449462 + ... + 2173738.

Almost surely, 2^{1312100213200} is an apocalyptic number.

1312100213200 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 1312100213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804112761536).

1312100213200 is an abundant number, since it is smaller than the sum of its proper divisors (2296125309872).

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

1312100213200 is a wasteful number, since it uses less digits than its factorization.

1312100213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724949 (or 724938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1312100213200 its reverse (23120012131), we get a palindrome (1335220225331).

The spelling of 1312100213200 in words is "one trillion, three hundred twelve billion, one hundred million, two hundred thirteen thousand, two hundred".