2131010013 has 24 divisors (see below), whose sum is σ = 3141923904. Its totient is φ = 1283751040.

The previous prime is 2131009997. The next prime is 2131010023. The reversal of 2131010013 is 3100101312.

It is not a de Polignac number, because 2131010013 - 2⁴ = 2131009997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131010023) 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 23 ways as a sum of consecutive naturals, for example, 43045 + ... + 78197.

It is an arithmetic number, because the mean of its divisors is an integer number (130913496).

Almost surely, 2^2131010013 is an apocalyptic number.

It is an amenable number.

2131010013 is a deficient number, since it is larger than the sum of its proper divisors (1010913891).

2131010013 is a wasteful number, since it uses less digits than its factorization.

2131010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35345 (or 35334 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2131010013 is about 46162.8640034390. The cubic root of 2131010013 is about 1286.8516886587.

Adding to 2131010013 its reverse (3100101312), we get a palindrome (5231111325).

The spelling of 2131010013 in words is "two billion, one hundred thirty-one million, ten thousand, thirteen".