21131440113 has 32 divisors (see below), whose sum is σ = 34103289600. Its totient is φ = 11361853440.

The previous prime is 21131440097. The next prime is 21131440117. The reversal of 21131440113 is 31104413112.

It is not a de Polignac number, because 21131440113 - 2⁴ = 21131440097 is a prime.

It is a super-2 number, since 2×21131440113² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21131440113.

It is not an unprimeable number, because it can be changed into a prime (21131440117) 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 31 ways as a sum of consecutive naturals, for example, 2691073 + ... + 2698913.

It is an arithmetic number, because the mean of its divisors is an integer number (1065727800).

Almost surely, 2^21131440113 is an apocalyptic number.

It is an amenable number.

21131440113 is a deficient number, since it is larger than the sum of its proper divisors (12971849487).

21131440113 is a wasteful number, since it uses less digits than its factorization.

21131440113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21131440113 its reverse (31104413112), we get a palindrome (52235853225).

The spelling of 21131440113 in words is "twenty-one billion, one hundred thirty-one million, four hundred forty thousand, one hundred thirteen".