1333132002100 has 72 divisors (see below), whose sum is σ = 2909260592280. Its totient is φ = 530238996480.

The previous prime is 1333132002089. The next prime is 1333132002113. The reversal of 1333132002100 is 12002313331.

It can be written as a sum of positive squares in 12 ways, for example, as 151697786256 + 1181434215844 = 389484^2 + 1086938^2 .

It is a congruent number.

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, 43853706 + ... + 43884094.

It is an arithmetic number, because the mean of its divisors is an integer number (40406397115).

Almost surely, 2^{1333132002100} is an apocalyptic number.

1333132002100 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 1333132002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454630296140).

1333132002100 is an abundant number, since it is smaller than the sum of its proper divisors (1576128590180).

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

1333132002100 is a wasteful number, since it uses less digits than its factorization.

1333132002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32869 (or 32862 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1333132002100 its reverse (12002313331), we get a palindrome (1345134315431).

The spelling of 1333132002100 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-two million, two thousand, one hundred".