1001132100312 has 64 divisors (see below), whose sum is σ = 2526278304000. Its totient is φ = 330585473664.

The previous prime is 1001132100253. The next prime is 1001132100341. The reversal of 1001132100312 is 2130012311001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001132100291 and 1001132100300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14675739 + ... + 14743797.

It is an arithmetic number, because the mean of its divisors is an integer number (39473098500).

Almost surely, 2^{1001132100312} is an apocalyptic number.

1001132100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001132100312 is an abundant number, since it is smaller than the sum of its proper divisors (1525146203688).

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

1001132100312 is a wasteful number, since it uses less digits than its factorization.

1001132100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73800 (or 73796 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001132100312 its reverse (2130012311001), we get a palindrome (3131144411313).

The spelling of 1001132100312 in words is "one trillion, one billion, one hundred thirty-two million, one hundred thousand, three hundred twelve".