131121331313013 has 6 divisors (see below), whose sum is σ = 189397478563254. Its totient is φ = 87414220875336.

The previous prime is 131121331312991. The next prime is 131121331313113. The reversal of 131121331313013 is 310313133121131.

131121331313013 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 1 + 331 + 313 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128676308099364 + 2445023213649 = 11343558^2 + 1563657^2 .

It is not a de Polignac number, because 131121331313013 - 2²¹ = 131121329215861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121331313113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7284518406270 + ... + 7284518406287.

It is an arithmetic number, because the mean of its divisors is an integer number (31566246427209).

Almost surely, 2^{131121331313013} is an apocalyptic number.

It is an amenable number.

131121331313013 is a deficient number, since it is larger than the sum of its proper divisors (58276147250241).

131121331313013 is a wasteful number, since it uses less digits than its factorization.

131121331313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569036812563 (or 14569036812560 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 131121331313013 its reverse (310313133121131), we get a palindrome (441434464434144).

The spelling of 131121331313013 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred thirteen thousand, thirteen".