1001120313312 has 144 divisors (see below), whose sum is σ = 3395103828480. Its totient is φ = 273598085376.

The previous prime is 1001120313307. The next prime is 1001120313317. The reversal of 1001120313312 is 2133130211001.

1001120313312 is a `hidden beast` number, since 10 + 0 + 11 + 20 + 313 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1001120313307) and next prime (1001120313317).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10749012 + ... + 10841747.

It is an arithmetic number, because the mean of its divisors is an integer number (23577109920).

Almost surely, 2^{1001120313312} is an apocalyptic number.

1001120313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001120313312 is an abundant number, since it is smaller than the sum of its proper divisors (2393983515168).

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

1001120313312 is a wasteful number, since it uses less digits than its factorization.

1001120313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21590805 (or 21590794 counting only the distinct ones).

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

Adding to 1001120313312 its reverse (2133130211001), we get a palindrome (3134250524313).

The spelling of 1001120313312 in words is "one trillion, one billion, one hundred twenty million, three hundred thirteen thousand, three hundred twelve".