131331013035135 has 16 divisors (see below), whose sum is σ = 210137563198080. Its totient is φ = 70040559504800.

The previous prime is 131331013035107. The next prime is 131331013035139. The reversal of 131331013035135 is 531530310133131.

It is a happy number.

It is not a de Polignac number, because 131331013035135 - 2⁴⁵ = 96146640946303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131331013035096 and 131331013035105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331013035139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165055341 + ... + 165849110.

It is an arithmetic number, because the mean of its divisors is an integer number (13133597699880).

Almost surely, 2^{131331013035135} is an apocalyptic number.

131331013035135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131331013035135 is a deficient number, since it is larger than the sum of its proper divisors (78806550162945).

131331013035135 is a wasteful number, since it uses less digits than its factorization.

131331013035135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330930918.

The product of its (nonzero) digits is 18225, while the sum is 33.

Adding to 131331013035135 its reverse (531530310133131), we get a palindrome (662861323168266).

The spelling of 131331013035135 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, thirteen million, thirty-five thousand, one hundred thirty-five".