1001100312 has 24 divisors (see below), whose sum is σ = 2711313540. Its totient is φ = 333700080.

The previous prime is 1001100299. The next prime is 1001100361. The reversal of 1001100312 is 2130011001.

1001100312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100294 and 1001100303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6952014 + ... + 6952157.

Almost surely, 2^1001100312 is an apocalyptic number.

1001100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001100312 is an abundant number, since it is smaller than the sum of its proper divisors (1710213228).

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

1001100312 is a wasteful number, since it uses less digits than its factorization.

1001100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904183 (or 13904176 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001100312 is about 31640.1692789403. The cubic root of 1001100312 is about 1000.3666362281.

Adding to 1001100312 its reverse (2130011001), we get a palindrome (3131111313).

The spelling of 1001100312 in words is "one billion, one million, one hundred thousand, three hundred twelve".