1001111301312 has 56 divisors (see below), whose sum is σ = 2649170242416. Its totient is φ = 333653803008.

The previous prime is 1001111301247. The next prime is 1001111301319. The reversal of 1001111301312 is 2131031111001.

It is a super-2 number, since 2×1001111301312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001111301291 and 1001111301300.

It is not an unprimeable number, because it can be changed into a prime (1001111301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906528 + ... + 1680480.

Almost surely, 2^{1001111301312} is an apocalyptic number.

1001111301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001111301312 is an abundant number, since it is smaller than the sum of its proper divisors (1648058941104).

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

1001111301312 is an equidigital number, since it uses as much as digits as its factorization.

1001111301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780705 (or 780695 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1001111301312 its reverse (2131031111001), we get a palindrome (3132142412313).

The spelling of 1001111301312 in words is "one trillion, one billion, one hundred eleven million, three hundred one thousand, three hundred twelve".