131006295 has 64 divisors (see below), whose sum is σ = 268170240. Its totient is φ = 59439744.

The previous prime is 131006269. The next prime is 131006297. The reversal of 131006295 is 592600131.

131006295 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 629 + 5 = 666.

It is not a de Polignac number, because 131006295 - 2⁵ = 131006263 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131006297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147924 + ... + 148806.

It is an arithmetic number, because the mean of its divisors is an integer number (4190160).

Almost surely, 2^131006295 is an apocalyptic number.

131006295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131006295 is an abundant number, since it is smaller than the sum of its proper divisors (137163945).

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

131006295 is a wasteful number, since it uses less digits than its factorization.

131006295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1055 counting only the distinct ones).

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

The square root of 131006295 is about 11445.7981373079. The cubic root of 131006295 is about 507.8834427340.

The spelling of 131006295 in words is "one hundred thirty-one million, six thousand, two hundred ninety-five".