131001319 has 16 divisors (see below), whose sum is σ = 139843584. Its totient is φ = 122522400.

The previous prime is 131001317. The next prime is 131001331. The reversal of 131001319 is 913100131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131001319 - 2¹ = 131001317 is a prime.

It is a super-2 number, since 2×131001319² = 34322691159479522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001296 and 131001305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116092 + ... + 117214.

It is an arithmetic number, because the mean of its divisors is an integer number (8740224).

Almost surely, 2^131001319 is an apocalyptic number.

131001319 is a deficient number, since it is larger than the sum of its proper divisors (8842265).

131001319 is a wasteful number, since it uses less digits than its factorization.

131001319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278.

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

The square root of 131001319 is about 11445.5807628971. The cubic root of 131001319 is about 507.8770123560.

The spelling of 131001319 in words is "one hundred thirty-one million, one thousand, three hundred nineteen".