131004414 has 48 divisors (see below), whose sum is σ = 302112720. Its totient is φ = 40884480.

The previous prime is 131004337. The next prime is 131004421. The reversal of 131004414 is 414400131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63552 + ... + 65580.

It is an arithmetic number, because the mean of its divisors is an integer number (6294015).

Almost surely, 2^131004414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131004414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151056360).

131004414 is an abundant number, since it is smaller than the sum of its proper divisors (171108306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131004414 is a wasteful number, since it uses less digits than its factorization.

131004414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131004414 is about 11445.7159671206. The cubic root of 131004414 is about 507.8810119772.

Adding to 131004414 its reverse (414400131), we get a palindrome (545404545).

The spelling of 131004414 in words is "one hundred thirty-one million, four thousand, four hundred fourteen".