131101232041305 has 80 divisors (see below), whose sum is σ = 236239433781120. Its totient is φ = 69556147448832.

The previous prime is 131101232041291. The next prime is 131101232041333. The reversal of 131101232041305 is 503140232101131.

131101232041305 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 1 + 232 + 0 + 413 + 0 + 5 = 666.

It is not a de Polignac number, because 131101232041305 - 2⁴ = 131101232041289 is a prime.

It is a super-2 number, since 2×131101232041305² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58808044 + ... + 60996626.

It is an arithmetic number, because the mean of its divisors is an integer number (2952992922264).

Almost surely, 2^{131101232041305} is an apocalyptic number.

131101232041305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131101232041305 is a deficient number, since it is larger than the sum of its proper divisors (105138201739815).

131101232041305 is a wasteful number, since it uses less digits than its factorization.

131101232041305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189372 (or 2189363 counting only the distinct ones).

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

Adding to 131101232041305 its reverse (503140232101131), we get a palindrome (634241464142436).

The spelling of 131101232041305 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty-two million, forty-one thousand, three hundred five".