100131121332 has 144 divisors (see below), whose sum is σ = 285572012544. Its totient is φ = 29307744000.

The previous prime is 100131121309. The next prime is 100131121339. The reversal of 100131121332 is 233121131001.

100131121332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 21 + 332 = 666.

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 (100131121339) 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 47 ways as a sum of consecutive naturals, for example, 6633778 + ... + 6648854.

It is an arithmetic number, because the mean of its divisors is an integer number (1983138976).

Almost surely, 2^100131121332 is an apocalyptic number.

100131121332 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 100131121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142786006272).

100131121332 is an abundant number, since it is smaller than the sum of its proper divisors (185440891212).

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

100131121332 is a wasteful number, since it uses less digits than its factorization.

100131121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670 (or 15665 counting only the distinct ones).

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

Adding to 100131121332 its reverse (233121131001), we get a palindrome (333252252333).

The spelling of 100131121332 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred thirty-two".