131129307 has 32 divisors (see below), whose sum is σ = 198158400. Its totient is φ = 85688064.

The previous prime is 131129281. The next prime is 131129309. The reversal of 131129307 is 703921131.

It is not a de Polignac number, because 131129307 - 2⁷ = 131129179 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131129309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473253 + ... + 473529.

It is an arithmetic number, because the mean of its divisors is an integer number (6192450).

Almost surely, 2^131129307 is an apocalyptic number.

131129307 is a deficient number, since it is larger than the sum of its proper divisors (67029093).

131129307 is a wasteful number, since it uses less digits than its factorization.

131129307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131129307 is about 11451.1705515200. The cubic root of 131129307 is about 508.0423567613.

The spelling of 131129307 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, three hundred seven".