131131030010301 has 12 divisors (see below), whose sum is σ = 189883835647740. Its totient is φ = 87202679971200.

The previous prime is 131131030010291. The next prime is 131131030010377. The reversal of 131131030010301 is 103010030131131.

131131030010301 is a `hidden beast` number, since 1 + 3 + 11 + 310 + 30 + 0 + 10 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129981204864900 + 1149825145401 = 11400930^2 + 1072299^2 .

It is not a de Polignac number, because 131131030010301 - 2⁹ = 131131030009789 is a prime.

It is a super-2 number, since 2×131131030010301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131030014301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18167221386 + ... + 18167228603.

It is an arithmetic number, because the mean of its divisors is an integer number (15823652970645).

Almost surely, 2^{131131030010301} is an apocalyptic number.

It is an amenable number.

131131030010301 is a deficient number, since it is larger than the sum of its proper divisors (58752805637439).

131131030010301 is a wasteful number, since it uses less digits than its factorization.

131131030010301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36334450396 (or 36334450393 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131131030010301 its reverse (103010030131131), we get a palindrome (234141060141432).

The spelling of 131131030010301 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, thirty million, ten thousand, three hundred one".