1131311221101 has 12 divisors (see below), whose sum is σ = 1634198826780. Its totient is φ = 754169349120.

The previous prime is 1131311221057. The next prime is 1131311221109. The reversal of 1131311221101 is 1011221131311.

1131311221101 is a `hidden beast` number, since 1 + 1 + 31 + 311 + 221 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359946002025 + 771365219076 = 599955^2 + 878274^2 .

It is not a de Polignac number, because 1131311221101 - 2⁷ = 1131311220973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131311221109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2989146 + ... + 3346283.

It is an arithmetic number, because the mean of its divisors is an integer number (136183235565).

Almost surely, 2^{1131311221101} is an apocalyptic number.

It is an amenable number.

1131311221101 is a deficient number, since it is larger than the sum of its proper divisors (502887605679).

1131311221101 is a wasteful number, since it uses less digits than its factorization.

1131311221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355276 (or 6355273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1131311221101 its reverse (1011221131311), we get a palindrome (2142532352412).

The spelling of 1131311221101 in words is "one trillion, one hundred thirty-one billion, three hundred eleven million, two hundred twenty-one thousand, one hundred one".