100011133011312 has 80 divisors (see below), whose sum is σ = 287473886580000. Its totient is φ = 33290024426496.

The previous prime is 100011133011301. The next prime is 100011133011323. The reversal of 100011133011312 is 213110331110001.

100011133011312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 11 + 330 + 11 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (100011133011301) and next prime (100011133011323).

It is a super-2 number, since 2×100011133011312² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162956937 + ... + 163569512.

It is an arithmetic number, because the mean of its divisors is an integer number (3593423582250).

Almost surely, 2^{100011133011312} is an apocalyptic number.

100011133011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011133011312 is an abundant number, since it is smaller than the sum of its proper divisors (187462753568688).

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

100011133011312 is a wasteful number, since it uses less digits than its factorization.

100011133011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326527175 (or 326527163 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100011133011312 its reverse (213110331110001), we get a palindrome (313121464121313).

The spelling of 100011133011312 in words is "one hundred trillion, eleven billion, one hundred thirty-three million, eleven thousand, three hundred twelve".