1331121132 has 72 divisors (see below), whose sum is σ = 3714984000. Its totient is φ = 398500320.

The previous prime is 1331121109. The next prime is 1331121157. The reversal of 1331121132 is 2311211331.

It is a super-2 number, since 2×1331121132² = 3543766936113922848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12619 + ... + 53117.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^1331121132 is an apocalyptic number.

1331121132 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 1331121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1331121132 is an abundant number, since it is smaller than the sum of its proper divisors (2383862868).

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

1331121132 is a wasteful number, since it uses less digits than its factorization.

1331121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40603 (or 40598 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1331121132 is about 36484.5327776032. The cubic root of 1331121132 is about 1100.0333686847.

Adding to 1331121132 its reverse (2311211331), we get a palindrome (3642332463).

It can be divided in two parts, 13311 and 21132, that added together give a palindrome (34443).

The spelling of 1331121132 in words is "one billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-two".