131101092 has 60 divisors (see below), whose sum is σ = 344142876. Its totient is φ = 43519680.

The previous prime is 131101079. The next prime is 131101133. The reversal of 131101092 is 290101131.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 33802596 = 9864^2 + 5814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94242 + ... + 95622.

Almost surely, 2^131101092 is an apocalyptic number.

131101092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172071438).

131101092 is an abundant number, since it is smaller than the sum of its proper divisors (213041784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101092 is a wasteful number, since it uses less digits than its factorization.

131101092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 131101092 is about 11449.9385151188. The cubic root of 131101092 is about 508.0059157763.

The spelling of 131101092 in words is "one hundred thirty-one million, one hundred one thousand, ninety-two".