131034413312013 has 64 divisors (see below), whose sum is σ = 182287323638784. Its totient is φ = 83665555776000.

The previous prime is 131034413312003. The next prime is 131034413312071. The reversal of 131034413312013 is 310213314430131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-131034413312013 is a prime.

It is a super-2 number, since 2×131034413312013² (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 (131034413312003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674048718 + ... + 674243088.

It is an arithmetic number, because the mean of its divisors is an integer number (2848239431856).

Almost surely, 2^{131034413312013} is an apocalyptic number.

It is an amenable number.

131034413312013 is a deficient number, since it is larger than the sum of its proper divisors (51252910326771).

131034413312013 is a wasteful number, since it uses less digits than its factorization.

131034413312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194986.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131034413312013 its reverse (310213314430131), we get a palindrome (441247727742144).

The spelling of 131034413312013 in words is "one hundred thirty-one trillion, thirty-four billion, four hundred thirteen million, three hundred twelve thousand, thirteen".