10001163312 has 200 divisors, whose sum is σ = 33393862656. Its totient is φ = 2830495104.

The previous prime is 10001163311. The next prime is 10001163313. The reversal of 10001163312 is 21336110001.

10001163312 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 633 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10001163311) and next prime (10001163313).

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

It is not an unprimeable number, because it can be changed into a prime (10001163311) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 965553 + ... + 975855.

Almost surely, 2^10001163312 is an apocalyptic number.

10001163312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696931328).

10001163312 is an abundant number, since it is smaller than the sum of its proper divisors (23392699344).

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

10001163312 is a wasteful number, since it uses less digits than its factorization.

10001163312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10422 counting only the distinct ones).

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

Adding to 10001163312 its reverse (21336110001), we get a palindrome (31337273313).

The spelling of 10001163312 in words is "ten billion, one million, one hundred sixty-three thousand, three hundred twelve".