131314401 has 6 divisors (see below), whose sum is σ = 189676370. Its totient is φ = 87542928.

The previous prime is 131314399. The next prime is 131314411. The reversal of 131314401 is 104413131.

It can be written as a sum of positive squares in only one way, i.e., 124344801 + 6969600 = 11151^2 + 2640^2 .

It is not a de Polignac number, because 131314401 - 2¹ = 131314399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131314411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7295236 + ... + 7295253.

Almost surely, 2^131314401 is an apocalyptic number.

It is an amenable number.

131314401 is a deficient number, since it is larger than the sum of its proper divisors (58361969).

131314401 is a wasteful number, since it uses less digits than its factorization.

131314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590495 (or 14590492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131314401 is about 11459.2495827606. The cubic root of 131314401 is about 508.2812847423.

Adding to 131314401 its reverse (104413131), we get a palindrome (235727532).

The spelling of 131314401 in words is "one hundred thirty-one million, three hundred fourteen thousand, four hundred one".