2131013101 has 16 divisors (see below), whose sum is σ = 2477682688. Its totient is φ = 1794960000.

The previous prime is 2131013081. The next prime is 2131013123. The reversal of 2131013101 is 1013101312.

It is a cyclic number.

It is not a de Polignac number, because 2131013101 - 2⁷ = 2131012973 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 (2131013161) 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, 708601 + ... + 711601.

It is an arithmetic number, because the mean of its divisors is an integer number (154855168).

Almost surely, 2^2131013101 is an apocalyptic number.

It is an amenable number.

2131013101 is a deficient number, since it is larger than the sum of its proper divisors (346669587).

2131013101 is a wasteful number, since it uses less digits than its factorization.

2131013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2131013101 is about 46162.8974502251. The cubic root of 2131013101 is about 1286.8523102413.

Adding to 2131013101 its reverse (1013101312), we get a palindrome (3144114413).

The spelling of 2131013101 in words is "two billion, one hundred thirty-one million, thirteen thousand, one hundred one".