131101101 has 12 divisors (see below), whose sum is σ = 194486812. Its totient is φ = 85038336.

The previous prime is 131101079. The next prime is 131101133. The reversal of 131101101 is 101101131.

It can be written as a sum of positive squares in 2 ways, for example, as 47817225 + 83283876 = 6915^2 + 9126^2 .

It is not a de Polignac number, because 131101101 - 2⁶ = 131101037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101151) 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, 196516 + ... + 197181.

Almost surely, 2^131101101 is an apocalyptic number.

It is an amenable number.

131101101 is a deficient number, since it is larger than the sum of its proper divisors (63385711).

131101101 is a wasteful number, since it uses less digits than its factorization.

131101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393740 (or 393737 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 131101101 is about 11449.9389081340. The cubic root of 131101101 is about 508.0059274010.

Adding to 131101101 its reverse (101101131), we get a palindrome (232202232).

It can be divided in two parts, 131 and 101101, that multiplied together give a palindrome (13244231).

The spelling of 131101101 in words is "one hundred thirty-one million, one hundred one thousand, one hundred one".