1001101312 has 96 divisors (see below), whose sum is σ = 2133462240. Its totient is φ = 468582400.

The previous prime is 1001101303. The next prime is 1001101379. The reversal of 1001101312 is 2131011001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2496312 + ... + 2496712.

It is an arithmetic number, because the mean of its divisors is an integer number (22223565).

Almost surely, 2^1001101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066731120).

1001101312 is an abundant number, since it is smaller than the sum of its proper divisors (1132360928).

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

1001101312 is an equidigital number, since it uses as much as digits as its factorization.

1001101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1001101312 is about 31640.1850816331. The cubic root of 1001101312 is about 1000.3669693170.

Adding to 1001101312 its reverse (2131011001), we get a palindrome (3132112313).

The spelling of 1001101312 in words is "one billion, one million, one hundred one thousand, three hundred twelve".