131011101 has 40 divisors (see below), whose sum is σ = 213444000. Its totient is φ = 79597728.

The previous prime is 131011079. The next prime is 131011123. The reversal of 131011101 is 101110131.

It is an interprime number because it is at equal distance from previous prime (131011079) and next prime (131011123).

It is not a de Polignac number, because 131011101 - 2¹⁵ = 130978333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86650 + ... + 88148.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2^131011101 is an apocalyptic number.

It is an amenable number.

131011101 is a deficient number, since it is larger than the sum of its proper divisors (82432899).

131011101 is a wasteful number, since it uses less digits than its factorization.

131011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1598 counting only the distinct ones).

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

The square root of 131011101 is about 11446.0080814230. The cubic root of 131011101 is about 507.8896532701.

Adding to 131011101 its reverse (101110131), we get a palindrome (232121232).

The spelling of 131011101 in words is "one hundred thirty-one million, eleven thousand, one hundred one".