101031330132 has 120 divisors (see below), whose sum is σ = 278190712800. Its totient is φ = 31884663744.

The previous prime is 101031330109. The next prime is 101031330139. The reversal of 101031330132 is 231033130101.

It is a happy number.

101031330132 is a `hidden beast` number, since 10 + 10 + 313 + 301 + 32 = 666.

It is a super-2 number, since 2×101031330132² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (101031330139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12178578 + ... + 12186870.

It is an arithmetic number, because the mean of its divisors is an integer number (2318255940).

Almost surely, 2^101031330132 is an apocalyptic number.

101031330132 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 101031330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139095356400).

101031330132 is an abundant number, since it is smaller than the sum of its proper divisors (177159382668).

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

101031330132 is a wasteful number, since it uses less digits than its factorization.

101031330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101031330132 its reverse (231033130101), we get a palindrome (332064460233).

The spelling of 101031330132 in words is "one hundred one billion, thirty-one million, three hundred thirty thousand, one hundred thirty-two".