1131101101 has 16 divisors (see below), whose sum is σ = 1241514288. Its totient is φ = 1024128000.

The previous prime is 1131101093. The next prime is 1131101113. The reversal of 1131101101 is 1011011311.

It can be written as a sum of positive squares in 8 ways, for example, as 146773225 + 984327876 = 12115^2 + 31374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131101101 - 2³ = 1131101093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131101501) 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, 316215 + ... + 319771.

It is an arithmetic number, because the mean of its divisors is an integer number (77594643).

Almost surely, 2^1131101101 is an apocalyptic number.

It is an amenable number.

1131101101 is a deficient number, since it is larger than the sum of its proper divisors (110413187).

1131101101 is a wasteful number, since it uses less digits than its factorization.

1131101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032.

The product of its (nonzero) digits is 3, while the sum is 10.

The square root of 1131101101 is about 33631.8465297402. The cubic root of 1131101101 is about 1041.9186417150.

Adding to 1131101101 its reverse (1011011311), we get a palindrome (2142112412).

The spelling of 1131101101 in words is "one billion, one hundred thirty-one million, one hundred one thousand, one hundred one".