1001133102312 has 96 divisors (see below), whose sum is σ = 3101147599680. Its totient is φ = 285816280320.

The previous prime is 1001133102289. The next prime is 1001133102323. The reversal of 1001133102312 is 2132013311001.

1001133102312 is a `hidden beast` number, since 10 + 0 + 11 + 331 + 0 + 2 + 312 = 666.

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

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, 118653 + ... + 1419980.

It is an arithmetic number, because the mean of its divisors is an integer number (32303620830).

Almost surely, 2^{1001133102312} is an apocalyptic number.

1001133102312 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 1001133102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550573799840).

1001133102312 is an abundant number, since it is smaller than the sum of its proper divisors (2100014497368).

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

1001133102312 is a wasteful number, since it uses less digits than its factorization.

1001133102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539943 (or 1539936 counting only the distinct ones).

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

Adding to 1001133102312 its reverse (2132013311001), we get a palindrome (3133146413313).

The spelling of 1001133102312 in words is "one trillion, one billion, one hundred thirty-three million, one hundred two thousand, three hundred twelve".