100132213032 has 96 divisors (see below), whose sum is σ = 274698988200. Its totient is φ = 32947494912.

The previous prime is 100132213007. The next prime is 100132213033. The reversal of 100132213032 is 230312231001.

It can be written as a sum of positive squares in 4 ways, for example, as 76743404676 + 23388808356 = 277026^2 + 152934^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100132212996 and 100132213014.

It is not an unprimeable number, because it can be changed into a prime (100132213033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698348 + ... + 2735204.

Almost surely, 2^100132213032 is an apocalyptic number.

100132213032 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 100132213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137349494100).

100132213032 is an abundant number, since it is smaller than the sum of its proper divisors (174566775168).

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

100132213032 is a wasteful number, since it uses less digits than its factorization.

100132213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37355 (or 37348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100132213032 its reverse (230312231001), we get a palindrome (330444444033).

The spelling of 100132213032 in words is "one hundred billion, one hundred thirty-two million, two hundred thirteen thousand, thirty-two".