131102101 has 8 divisors (see below), whose sum is σ = 141969464. Its totient is φ = 120346560.

The previous prime is 131102089. The next prime is 131102177. The reversal of 131102101 is 101201131.

It can be written as a sum of positive squares in 4 ways, for example, as 1825201 + 129276900 = 1351^2 + 11370^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131102101 - 2⁹ = 131101589 is a prime.

It is a super-2 number, since 2×131102101² = 34375521773228402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25506 + ... + 30211.

It is an arithmetic number, because the mean of its divisors is an integer number (17746183).

Almost surely, 2^131102101 is an apocalyptic number.

It is an amenable number.

131102101 is a deficient number, since it is larger than the sum of its proper divisors (10867363).

131102101 is a wasteful number, since it uses less digits than its factorization.

131102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55911.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 131102101 is about 11449.9825764060. The cubic root of 131102101 is about 508.0072190369.

Adding to 131102101 its reverse (101201131), we get a palindrome (232303232).

The spelling of 131102101 in words is "one hundred thirty-one million, one hundred two thousand, one hundred one".