100131211332 has 36 divisors (see below), whose sum is σ = 255615494316. Its totient is φ = 33046603200.

The previous prime is 100131211331. The next prime is 100131211361. The reversal of 100131211332 is 233112131001.

100131211332 is a `hidden beast` number, since 10 + 0 + 1 + 312 + 11 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97883882496 + 2247328836 = 312864^2 + 47406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (100131211331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13765783 + ... + 13773054.

Almost surely, 2^100131211332 is an apocalyptic number.

100131211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131211332 is an abundant number, since it is smaller than the sum of its proper divisors (155484282984).

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

100131211332 is a wasteful number, since it uses less digits than its factorization.

100131211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27538948 (or 27538943 counting only the distinct ones).

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

Adding to 100131211332 its reverse (233112131001), we get a palindrome (333243342333).

The spelling of 100131211332 in words is "one hundred billion, one hundred thirty-one million, two hundred eleven thousand, three hundred thirty-two".