100213312004 has 48 divisors (see below), whose sum is σ = 200225120256. Its totient is φ = 43550524800.

The previous prime is 100213311959. The next prime is 100213312007. The reversal of 100213312004 is 400213312001.

It is a super-2 number, since 2×100213312004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100213312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780452 + ... + 899739.

It is an arithmetic number, because the mean of its divisors is an integer number (4171356672).

Almost surely, 2^100213312004 is an apocalyptic number.

It is an amenable number.

100213312004 is a deficient number, since it is larger than the sum of its proper divisors (100011808252).

100213312004 is a wasteful number, since it uses less digits than its factorization.

100213312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680276 (or 1680274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100213312004 its reverse (400213312001), we get a palindrome (500426624005).

The spelling of 100213312004 in words is "one hundred billion, two hundred thirteen million, three hundred twelve thousand, four".