1332111312100 has 72 divisors (see below), whose sum is σ = 2945950900200. Its totient is φ = 522661601280.

The previous prime is 1332111312079. The next prime is 1332111312113. The reversal of 1332111312100 is 12131112331.

It can be written as a sum of positive squares in 12 ways, for example, as 437452605604 + 894658706496 = 661402^2 + 945864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23020804 + ... + 23078596.

It is an arithmetic number, because the mean of its divisors is an integer number (40915984725).

Almost surely, 2^{1332111312100} is an apocalyptic number.

1332111312100 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 1332111312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472975450100).

1332111312100 is an abundant number, since it is smaller than the sum of its proper divisors (1613839588100).

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

1332111312100 is a wasteful number, since it uses less digits than its factorization.

1332111312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62209 (or 62202 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1332111312100 its reverse (12131112331), we get a palindrome (1344242424431).

The spelling of 1332111312100 in words is "one trillion, three hundred thirty-two billion, one hundred eleven million, three hundred twelve thousand, one hundred".