131010319 has 8 divisors (see below), whose sum is σ = 143648208. Its totient is φ = 118493760.

The previous prime is 131010317. The next prime is 131010337. The reversal of 131010319 is 913010131.

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 131010319 - 2¹ = 131010317 is a prime.

It is a super-2 number, since 2×131010319² = 34327407368963522, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 131010296 and 131010305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28062 + ... + 32395.

It is an arithmetic number, because the mean of its divisors is an integer number (17956026).

Almost surely, 2^131010319 is an apocalyptic number.

131010319 is a deficient number, since it is larger than the sum of its proper divisors (12637889).

131010319 is a wasteful number, since it uses less digits than its factorization.

131010319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60665.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 131010319 is about 11445.9739209907. The cubic root of 131010319 is about 507.8886427438. Note that the first 3 decimals are identical.

The spelling of 131010319 in words is "one hundred thirty-one million, ten thousand, three hundred nineteen".