131109435 has 72 divisors (see below), whose sum is σ = 247862160. Its totient is φ = 66407040.

The previous prime is 131109409. The next prime is 131109437. The reversal of 131109435 is 534901131.

It is not a de Polignac number, because 131109435 - 2⁵ = 131109403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131109399 and 131109408.

It is not an unprimeable number, because it can be changed into a prime (131109437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2149305 + ... + 2149365.

It is an arithmetic number, because the mean of its divisors is an integer number (3442530).

Almost surely, 2^131109435 is an apocalyptic number.

131109435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131109435 is a deficient number, since it is larger than the sum of its proper divisors (116752725).

131109435 is an frugal number, since it uses more digits than its factorization.

131109435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131109435 is about 11450.3028344232. The cubic root of 131109435 is about 508.0166916933.

The spelling of 131109435 in words is "one hundred thirty-one million, one hundred nine thousand, four hundred thirty-five".