13332112221300 has 288 divisors, whose sum is σ = 40470601715712. Its totient is φ = 3382166008320.

The previous prime is 13332112221287. The next prime is 13332112221313. The reversal of 13332112221300 is 312221123331.

It is an interprime number because it is at equal distance from previous prime (13332112221287) and next prime (13332112221313).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1727625042 + ... + 1727632758.

It is an arithmetic number, because the mean of its divisors is an integer number (140522922624).

Almost surely, 2^{13332112221300} is an apocalyptic number.

13332112221300 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 13332112221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235300857856).

13332112221300 is an abundant number, since it is smaller than the sum of its proper divisors (27138489494412).

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

13332112221300 is a wasteful number, since it uses less digits than its factorization.

13332112221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13332112221300 its reverse (312221123331), we get a palindrome (13644333344631).

The spelling of 13332112221300 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twelve million, two hundred twenty-one thousand, three hundred".