101131991832 has 96 divisors (see below), whose sum is σ = 268779114000. Its totient is φ = 31703832576.

The previous prime is 101131991819. The next prime is 101131991837. The reversal of 101131991832 is 238199131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131991837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10739158 + ... + 10748570.

Almost surely, 2^101131991832 is an apocalyptic number.

101131991832 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 101131991832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134389557000).

101131991832 is an abundant number, since it is smaller than the sum of its proper divisors (167647122168).

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

101131991832 is a wasteful number, since it uses less digits than its factorization.

101131991832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 101131991832 in words is "one hundred one billion, one hundred thirty-one million, nine hundred ninety-one thousand, eight hundred thirty-two".