11531033013511 has 16 divisors (see below), whose sum is σ = 13292390108160. Its totient is φ = 9900061348320.

The previous prime is 11531033013491. The next prime is 11531033013547.

11531033013511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11531033013511 - 2¹⁵ = 11531032980743 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11531033013511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531033013571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288443340 + ... + 288483313.

It is an arithmetic number, because the mean of its divisors is an integer number (830774381760).

Almost surely, 2^{11531033013511} is an apocalyptic number.

11531033013511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11531033013511 is a deficient number, since it is larger than the sum of its proper divisors (1761357094649).

11531033013511 is a wasteful number, since it uses less digits than its factorization.

11531033013511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576926766.

The product of its (nonzero) digits is 2025, while the sum is 28.

It can be divided in two parts, 1153103 and 3013511, that added together give a palindrome (4166614).

The spelling of 11531033013511 in words is "eleven trillion, five hundred thirty-one billion, thirty-three million, thirteen thousand, five hundred eleven".