2131101013 has 8 divisors (see below), whose sum is σ = 2151372888. Its totient is φ = 2110854144.

The previous prime is 2131101001. The next prime is 2131101053. The reversal of 2131101013 is 3101011312.

It can be written as a sum of positive squares in 4 ways, for example, as 391960804 + 1739140209 = 19798^2 + 41703^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2131101013 - 2²¹ = 2129003861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131100984 and 2131101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131101053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195495 + ... + 206107.

It is an arithmetic number, because the mean of its divisors is an integer number (268921611).

Almost surely, 2^2131101013 is an apocalyptic number.

It is an amenable number.

2131101013 is a deficient number, since it is larger than the sum of its proper divisors (20271875).

2131101013 is a wasteful number, since it uses less digits than its factorization.

2131101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503.

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

The square root of 2131101013 is about 46163.8496336690. The cubic root of 2131101013 is about 1286.8700057691.

Adding to 2131101013 its reverse (3101011312), we get a palindrome (5232112325).

The spelling of 2131101013 in words is "two billion, one hundred thirty-one million, one hundred one thousand, thirteen".