131125401 has 27 divisors (see below), whose sum is σ = 208788853. Its totient is φ = 79240920.

The previous prime is 131125399. The next prime is 131125409. The reversal of 131125401 is 104521131.

The square root of 131125401 is 11451.

It is a perfect power (a square), and thus also a powerful number.

131125401 is a `hidden beast` number, since 13 + 112 + 540 + 1 = 666.

It is not a de Polignac number, because 131125401 - 2¹ = 131125399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131125409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 377710 + ... + 378056.

Almost surely, 2^131125401 is an apocalyptic number.

131125401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131125401 is the 11451-st square number.

131125401 is the 5726-th centered octagonal number.

It is an amenable number.

131125401 is a deficient number, since it is larger than the sum of its proper divisors (77663452).

131125401 is an equidigital number, since it uses as much as digits as its factorization.

131125401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The cubic root of 131125401 is about 508.0373122923.

Adding to 131125401 its reverse (104521131), we get a palindrome (235646532).

The spelling of 131125401 in words is "one hundred thirty-one million, one hundred twenty-five thousand, four hundred one".