11355122155311 has 48 divisors (see below), whose sum is σ = 17929357205760. Its totient is φ = 6867891864960.

The previous prime is 11355122155303. The next prime is 11355122155337.

11355122155311 is a `hidden beast` number, since 1 + 1 + 3 + 551 + 2 + 21 + 55 + 31 + 1 = 666.

11355122155311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11355122155311 - 2³ = 11355122155303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355122155381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98614870 + ... + 98729948.

It is an arithmetic number, because the mean of its divisors is an integer number (373528275120).

Almost surely, 2^{11355122155311} is an apocalyptic number.

11355122155311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11355122155311 is a deficient number, since it is larger than the sum of its proper divisors (6574235050449).

11355122155311 is a wasteful number, since it uses less digits than its factorization.

11355122155311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117116 (or 117113 counting only the distinct ones).

The product of its digits is 22500, while the sum is 36.

The spelling of 11355122155311 in words is "eleven trillion, three hundred fifty-five billion, one hundred twenty-two million, one hundred fifty-five thousand, three hundred eleven".