1331111313132 has 96 divisors (see below), whose sum is σ = 3332541078720. Its totient is φ = 412697779200.

The previous prime is 1331111313113. The next prime is 1331111313151. The reversal of 1331111313132 is 2313131111331.

It is an interprime number because it is at equal distance from previous prime (1331111313113) and next prime (1331111313151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788698 + ... + 1812254.

It is an arithmetic number, because the mean of its divisors is an integer number (34713969570).

Almost surely, 2^{1331111313132} is an apocalyptic number.

1331111313132 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 1331111313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666270539360).

1331111313132 is an abundant number, since it is smaller than the sum of its proper divisors (2001429765588).

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

1331111313132 is a wasteful number, since it uses less digits than its factorization.

1331111313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023731 (or 1023729 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

Adding to 1331111313132 its reverse (2313131111331), we get a palindrome (3644242424463).

The spelling of 1331111313132 in words is "one trillion, three hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".