100133213103 has 48 divisors (see below), whose sum is σ = 188166790656. Its totient is φ = 49755625920.

The previous prime is 100133213083. The next prime is 100133213113. The reversal of 100133213103 is 301312331001.

It is a happy number.

It is not a de Polignac number, because 100133213103 - 2²¹ = 100131115951 is a prime.

It is a super-3 number, since 3×100133213103³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133213113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125200 + ... + 3157077.

It is an arithmetic number, because the mean of its divisors is an integer number (3920141472).

Almost surely, 2^100133213103 is an apocalyptic number.

100133213103 is a deficient number, since it is larger than the sum of its proper divisors (88033577553).

100133213103 is a wasteful number, since it uses less digits than its factorization.

100133213103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282324 (or 6282321 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133213103 its reverse (301312331001), we get a palindrome (401445544104).

It can be divided in two parts, 100133 and 213103, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 100133213103 in words is "one hundred billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred three".