100213321320 has 96 divisors (see below), whose sum is σ = 372220917120. Its totient is φ = 22905901440.

The previous prime is 100213321283. The next prime is 100213321333. The reversal of 100213321320 is 23123312001.

100213321320 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 3 + 321 + 320 = 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 = 100213321293 and 100213321302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19881076 + ... + 19886115.

It is an arithmetic number, because the mean of its divisors is an integer number (3877301220).

Almost surely, 2^100213321320 is an apocalyptic number.

100213321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213321320 is an abundant number, since it is smaller than the sum of its proper divisors (272007595800).

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

100213321320 is a wasteful number, since it uses less digits than its factorization.

100213321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39767215 (or 39767208 counting only the distinct ones).

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

Adding to 100213321320 its reverse (23123312001), we get a palindrome (123336633321).

The spelling of 100213321320 in words is "one hundred billion, two hundred thirteen million, three hundred twenty-one thousand, three hundred twenty".