11002001113131 has 16 divisors (see below), whose sum is σ = 16770499974144. Its totient is φ = 6284778067584.

The previous prime is 11002001113121. The next prime is 11002001113133. The reversal of 11002001113131 is 13131110020011.

It is not a de Polignac number, because 11002001113131 - 2⁵ = 11002001113099 is a prime.

It is a super-2 number, since 2×11002001113131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11002001113131.

It is not an unprimeable number, because it can be changed into a prime (11002001113133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86589646 + ... + 86716611.

It is an arithmetic number, because the mean of its divisors is an integer number (1048156248384).

Almost surely, 2^{11002001113131} is an apocalyptic number.

11002001113131 is a deficient number, since it is larger than the sum of its proper divisors (5768498861013).

11002001113131 is a wasteful number, since it uses less digits than its factorization.

11002001113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173309290.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11002001113131 its reverse (13131110020011), we get a palindrome (24133111133142).

It can be divided in two parts, 110020011 and 13131, that multiplied together give a palindrome (1444672764441).

The spelling of 11002001113131 in words is "eleven trillion, two billion, one million, one hundred thirteen thousand, one hundred thirty-one".