2131100213011 has 16 divisors (see below), whose sum is σ = 2657078396928. Its totient is φ = 1660521139200.

The previous prime is 2131100212939. The next prime is 2131100213059. The reversal of 2131100213011 is 1103120011312.

It is a happy number.

It is not a de Polignac number, because 2131100213011 - 2²³ = 2131091824403 is a prime.

It is a super-2 number, since 2×2131100213011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131100214011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076691 + ... + 2328403.

It is an arithmetic number, because the mean of its divisors is an integer number (166067399808).

Almost surely, 2^{2131100213011} is an apocalyptic number.

2131100213011 is a deficient number, since it is larger than the sum of its proper divisors (525978183917).

2131100213011 is a wasteful number, since it uses less digits than its factorization.

2131100213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273842.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2131100213011 its reverse (1103120011312), we get a palindrome (3234220224323).

The spelling of 2131100213011 in words is "two trillion, one hundred thirty-one billion, one hundred million, two hundred thirteen thousand, eleven".