10132200324 has 72 divisors (see below), whose sum is σ = 26398095360. Its totient is φ = 3274385472.

The previous prime is 10132200313. The next prime is 10132200329. The reversal of 10132200324 is 42300223101.

10132200324 is a `hidden beast` number, since 10 + 132 + 200 + 324 = 666.

It is a super-2 number, since 2×10132200324² (a number of 21 digits) contains 22 as substring.

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 = 10132200297 and 10132200306.

It is not an unprimeable number, because it can be changed into a prime (10132200329) 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, 363517 + ... + 390395.

Almost surely, 2^10132200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199047680).

10132200324 is an abundant number, since it is smaller than the sum of its proper divisors (16265895036).

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

10132200324 is a wasteful number, since it uses less digits than its factorization.

10132200324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27209 (or 27204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132200324 its reverse (42300223101), we get a palindrome (52432423425).

The spelling of 10132200324 in words is "ten billion, one hundred thirty-two million, two hundred thousand, three hundred twenty-four".