131011331 has 8 divisors (see below), whose sum is σ = 145055424. Its totient is φ = 117322920.

The previous prime is 131011313. The next prime is 131011337. The reversal of 131011331 is 133110131.

It is a happy number.

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

It is not a de Polignac number, because 131011331 - 2¹⁴ = 130994947 is a prime.

It is a super-3 number, since 3×131011331³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011337) 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, 88145 + ... + 89618.

It is an arithmetic number, because the mean of its divisors is an integer number (18131928).

Almost surely, 2^131011331 is an apocalyptic number.

131011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131011331 is a deficient number, since it is larger than the sum of its proper divisors (14044093).

131011331 is a wasteful number, since it uses less digits than its factorization.

131011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177841.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131011331 is about 11446.0181285895. The cubic root of 131011331 is about 507.8899504830.

Adding to 131011331 its reverse (133110131), we get a palindrome (264121462).

The spelling of 131011331 in words is "one hundred thirty-one million, eleven thousand, three hundred thirty-one".