131114415 has 24 divisors (see below), whose sum is σ = 212196240. Its totient is φ = 69132288.

The previous prime is 131114413. The next prime is 131114447. The reversal of 131114415 is 514411131.

It is not a de Polignac number, because 131114415 - 2¹ = 131114413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131114391 and 131114400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131114413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140671 + ... + 141599.

It is an arithmetic number, because the mean of its divisors is an integer number (8841510).

Almost surely, 2^131114415 is an apocalyptic number.

131114415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131114415 is a deficient number, since it is larger than the sum of its proper divisors (81081825).

131114415 is an frugal number, since it uses more digits than its factorization.

131114415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1034 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 131114415 is about 11450.5202938556. The cubic root of 131114415 is about 508.0231237020.

Adding to 131114415 its reverse (514411131), we get a palindrome (645525546).

The spelling of 131114415 in words is "one hundred thirty-one million, one hundred fourteen thousand, four hundred fifteen".