2102134013 has 16 divisors (see below), whose sum is σ = 2510812416. Its totient is φ = 1720794240.

The previous prime is 2102134003. The next prime is 2102134019. The reversal of 2102134013 is 3104312012.

It is a cyclic number.

It is not a de Polignac number, because 2102134013 - 2⁶ = 2102133949 is a prime.

It is a super-2 number, since 2×2102134013² = 8837934817222968338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102133982 and 2102134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102134019) 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, 96545 + ... + 116297.

It is an arithmetic number, because the mean of its divisors is an integer number (156925776).

Almost surely, 2^2102134013 is an apocalyptic number.

2102134013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2102134013 is a deficient number, since it is larger than the sum of its proper divisors (408678403).

2102134013 is a wasteful number, since it uses less digits than its factorization.

2102134013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444.

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

The square root of 2102134013 is about 45849.0350280134. The cubic root of 2102134013 is about 1281.0127915636.

Adding to 2102134013 its reverse (3104312012), we get a palindrome (5206446025).

The spelling of 2102134013 in words is "two billion, one hundred two million, one hundred thirty-four thousand, thirteen".