1310312434131 has 32 divisors (see below), whose sum is σ = 1943174745600. Its totient is φ = 872655132960.

The previous prime is 1310312434121. The next prime is 1310312434229. The reversal of 1310312434131 is 1314342130131.

1310312434131 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 1 + 243 + 413 + 1 = 666.

It is not a de Polignac number, because 1310312434131 - 2¹⁰ = 1310312433107 is a prime.

It is a super-2 number, since 2×1310312434131² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1310312434095 and 1310312434104.

It is not an unprimeable number, because it can be changed into a prime (1310312434121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129204321 + ... + 129214461.

It is an arithmetic number, because the mean of its divisors is an integer number (60724210800).

Almost surely, 2^{1310312434131} is an apocalyptic number.

1310312434131 is a deficient number, since it is larger than the sum of its proper divisors (632862311469).

1310312434131 is a wasteful number, since it uses less digits than its factorization.

1310312434131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14536 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1310312434131 its reverse (1314342130131), we get a palindrome (2624654564262).

The spelling of 1310312434131 in words is "one trillion, three hundred ten billion, three hundred twelve million, four hundred thirty-four thousand, one hundred thirty-one".