1331100002232 has 1536 divisors, whose sum is σ = 5186668032000. Its totient is φ = 303599923200.

The previous prime is 1331100002231. The next prime is 1331100002249. The reversal of 1331100002232 is 2322000011331.

1331100002232 is a `hidden beast` number, since 1 + 331 + 100 + 0 + 0 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331100002231) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7970658613 + ... + 7970658779.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737000).

Almost surely, 2^{1331100002232} is an apocalyptic number.

1331100002232 is a gapful number since it is divisible by the number (12) 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 1331100002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016000).

1331100002232 is an abundant number, since it is smaller than the sum of its proper divisors (3855568029768).

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

1331100002232 is a wasteful number, since it uses less digits than its factorization.

1331100002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331100002232 its reverse (2322000011331), we get a palindrome (3653100013563).

Subtracting 1331100002232 from its reverse (2322000011331), we obtain a palindrome (990900009099).

The spelling of 1331100002232 in words is "one trillion, three hundred thirty-one billion, one hundred million, two thousand, two hundred thirty-two".