100213144430 has 64 divisors (see below), whose sum is σ = 213339709440. Its totient is φ = 33161837184.

The previous prime is 100213144349. The next prime is 100213144441. The reversal of 100213144430 is 34441312001.

It is a junction number, because it is equal to n+sod(n) for n = 100213144396 and 100213144405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6778907 + ... + 6793673.

It is an arithmetic number, because the mean of its divisors is an integer number (3333432960).

Almost surely, 2^100213144430 is an apocalyptic number.

100213144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213144430 is an abundant number, since it is smaller than the sum of its proper divisors (113126565010).

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

100213144430 is a wasteful number, since it uses less digits than its factorization.

100213144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18153.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100213144430 its reverse (34441312001), we get a palindrome (134654456431).

The spelling of 100213144430 in words is "one hundred billion, two hundred thirteen million, one hundred forty-four thousand, four hundred thirty".