2131632013 has 16 divisors (see below), whose sum is σ = 2537835520. Its totient is φ = 1751932800.

The previous prime is 2131631993. The next prime is 2131632029. The reversal of 2131632013 is 3102361312.

It is a cyclic number.

It is not a de Polignac number, because 2131632013 - 2⁹ = 2131631501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131632043) 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, 21408 + ... + 68713.

It is an arithmetic number, because the mean of its divisors is an integer number (158614720).

Almost surely, 2^2131632013 is an apocalyptic number.

It is an amenable number.

2131632013 is a deficient number, since it is larger than the sum of its proper divisors (406203507).

2131632013 is a wasteful number, since it uses less digits than its factorization.

2131632013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90268.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 2131632013 is about 46169.6005289195. The cubic root of 2131632013 is about 1286.9768787301.

Adding to 2131632013 its reverse (3102361312), we get a palindrome (5233993325).

The spelling of 2131632013 in words is "two billion, one hundred thirty-one million, six hundred thirty-two thousand, thirteen".