2100133131 has 16 divisors (see below), whose sum is σ = 3005514144. Its totient is φ = 1299677184.

The previous prime is 2100133121. The next prime is 2100133141. The reversal of 2100133131 is 1313310012.

It is an interprime number because it is at equal distance from previous prime (2100133121) and next prime (2100133141).

It is not a de Polignac number, because 2100133131 - 2⁶ = 2100133067 is a prime.

It is a super-2 number, since 2×2100133131² = 8821118335847726322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100133131.

It is not an unprimeable number, because it can be changed into a prime (2100133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278326 + ... + 285771.

It is an arithmetic number, because the mean of its divisors is an integer number (187844634).

Almost surely, 2^2100133131 is an apocalyptic number.

2100133131 is a deficient number, since it is larger than the sum of its proper divisors (905381013).

2100133131 is a wasteful number, since it uses less digits than its factorization.

2100133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564190.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2100133131 is about 45827.2095048346. The cubic root of 2100133131 is about 1280.6062254926.

Adding to 2100133131 its reverse (1313310012), we get a palindrome (3413443143).

The spelling of 2100133131 in words is "two billion, one hundred million, one hundred thirty-three thousand, one hundred thirty-one".