100223131032 has 128 divisors (see below), whose sum is σ = 297529977600. Its totient is φ = 31148573184.

The previous prime is 100223130979. The next prime is 100223131033. The reversal of 100223131032 is 230131322001.

100223131032 is a `hidden beast` number, since 100 + 223 + 1 + 310 + 32 = 666.

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 = 100223130996 and 100223131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223131033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265363 + ... + 520445.

It is an arithmetic number, because the mean of its divisors is an integer number (2324452950).

Almost surely, 2^100223131032 is an apocalyptic number.

100223131032 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 100223131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148764988800).

100223131032 is an abundant number, since it is smaller than the sum of its proper divisors (197306846568).

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

100223131032 is a wasteful number, since it uses less digits than its factorization.

100223131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255222 (or 255212 counting only the distinct ones).

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

Adding to 100223131032 its reverse (230131322001), we get a palindrome (330354453033).

The spelling of 100223131032 in words is "one hundred billion, two hundred twenty-three million, one hundred thirty-one thousand, thirty-two".