1331213112300 has 144 divisors (see below), whose sum is σ = 3896656848000. Its totient is φ = 350845017600.

The previous prime is 1331213112277. The next prime is 1331213112331. The reversal of 1331213112300 is 32113121331.

It is a happy number.

It is a super-2 number, since 2×1331213112300² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 67567851 + ... + 67587549.

It is an arithmetic number, because the mean of its divisors is an integer number (27060117000).

Almost surely, 2^{1331213112300} is an apocalyptic number.

1331213112300 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 1331213112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948328424000).

1331213112300 is an abundant number, since it is smaller than the sum of its proper divisors (2565443735700).

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

1331213112300 is a wasteful number, since it uses less digits than its factorization.

1331213112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1331213112300 its reverse (32113121331), we get a palindrome (1363326233631).

The spelling of 1331213112300 in words is "one trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred twelve thousand, three hundred".