2131132101 has 16 divisors (see below), whose sum is σ = 3249168000. Its totient is φ = 1217141568.

The previous prime is 2131132049. The next prime is 2131132117. The reversal of 2131132101 is 1012311312.

It is a happy number.

It is not a de Polignac number, because 2131132101 - 2¹⁸ = 2130869957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131132141) 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, 14895 + ... + 66963.

It is an arithmetic number, because the mean of its divisors is an integer number (203073000).

Almost surely, 2^2131132101 is an apocalyptic number.

2131132101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131132101 is a deficient number, since it is larger than the sum of its proper divisors (1118035899).

2131132101 is a wasteful number, since it uses less digits than its factorization.

2131132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54028.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2131132101 is about 46164.1863461277. The cubic root of 2131132101 is about 1286.8762632576.

Adding to 2131132101 its reverse (1012311312), we get a palindrome (3143443413).

The spelling of 2131132101 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred one".