131314311225 has 72 divisors (see below), whose sum is σ = 237133260000. Its totient is φ = 69459264000.

The previous prime is 131314311197. The next prime is 131314311307. The reversal of 131314311225 is 522113413131.

131314311225 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 431 + 1 + 225 = 666.

It is not a de Polignac number, because 131314311225 - 2⁹ = 131314310713 is a prime.

It is a super-2 number, since 2×131314311225² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46879825 + ... + 46882625.

It is an arithmetic number, because the mean of its divisors is an integer number (3293517500).

Almost surely, 2^131314311225 is an apocalyptic number.

131314311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131314311225 is a deficient number, since it is larger than the sum of its proper divisors (105818948775).

131314311225 is a wasteful number, since it uses less digits than its factorization.

131314311225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4447 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 131314311225 its reverse (522113413131), we get a palindrome (653427724356).

The spelling of 131314311225 in words is "one hundred thirty-one billion, three hundred fourteen million, three hundred eleven thousand, two hundred twenty-five".