10001012133312 has 168 divisors, whose sum is σ = 30473601546960. Its totient is φ = 3126944563200.

The previous prime is 10001012133311. The next prime is 10001012133391. The reversal of 10001012133312 is 21333121010001.

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 (10001012133311) 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 23 ways as a sum of consecutive naturals, for example, 3418593 + ... + 5629280.

Almost surely, 2^{10001012133312} is an apocalyptic number.

10001012133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001012133312 is an abundant number, since it is smaller than the sum of its proper divisors (20472589413648).

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

10001012133312 is a wasteful number, since it uses less digits than its factorization.

10001012133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048011 (or 9047998 counting only the distinct ones).

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

Adding to 10001012133312 its reverse (21333121010001), we get a palindrome (31334133143313).

The spelling of 10001012133312 in words is "ten trillion, one billion, twelve million, one hundred thirty-three thousand, three hundred twelve".