11311311321131 has 16 divisors (see below), whose sum is σ = 12016803712320. Its totient is φ = 10625383802880.

The previous prime is 11311311321091. The next prime is 11311311321151. The reversal of 11311311321131 is 13112311311311.

It is a happy number.

11311311321131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11311311321131 - 2²² = 11311307126827 is a prime.

It is a super-2 number, since 2×11311311321131² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11311311321097 and 11311311321106.

It is not an unprimeable number, because it can be changed into a prime (11311311321151) 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, 19680830 + ... + 20247411.

It is an arithmetic number, because the mean of its divisors is an integer number (751050232020).

Almost surely, 2^{11311311321131} is an apocalyptic number.

11311311321131 is a deficient number, since it is larger than the sum of its proper divisors (705492391189).

11311311321131 is a wasteful number, since it uses less digits than its factorization.

11311311321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39928486.

The product of its digits is 162, while the sum is 23.

Adding to 11311311321131 its reverse (13112311311311), we get a palindrome (24423622632442).

The spelling of 11311311321131 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, three hundred twenty-one thousand, one hundred thirty-one".