1333120322100 has 144 divisors (see below), whose sum is σ = 4416848553600. Its totient is φ = 304114321920.

The previous prime is 1333120322099. The next prime is 1333120322137. The reversal of 1333120322100 is 12230213331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445306 + ... + 1692494.

It is an arithmetic number, because the mean of its divisors is an integer number (30672559400).

Almost surely, 2^{1333120322100} is an apocalyptic number.

1333120322100 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 1333120322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208424276800).

1333120322100 is an abundant number, since it is smaller than the sum of its proper divisors (3083728231500).

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

1333120322100 is a wasteful number, since it uses less digits than its factorization.

1333120322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247722 (or 1247715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1333120322100 its reverse (12230213331), we get a palindrome (1345350535431).

The spelling of 1333120322100 in words is "one trillion, three hundred thirty-three billion, one hundred twenty million, three hundred twenty-two thousand, one hundred".