10133132112 has 120 divisors (see below), whose sum is σ = 28572171264. Its totient is φ = 3352407552.

The previous prime is 10133132101. The next prime is 10133132123. The reversal of 10133132112 is 21123133101.

10133132112 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 321 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (10133132101) and next prime (10133132123).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17262283 + ... + 17262869.

Almost surely, 2^10133132112 is an apocalyptic number.

10133132112 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 10133132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286085632).

10133132112 is an abundant number, since it is smaller than the sum of its proper divisors (18439039152).

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

10133132112 is a wasteful number, since it uses less digits than its factorization.

10133132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1288 counting only the distinct ones).

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

Adding to 10133132112 its reverse (21123133101), we get a palindrome (31256265213).

The spelling of 10133132112 in words is "ten billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twelve".