131413124321312 has 12 divisors (see below), whose sum is σ = 258719588507646. Its totient is φ = 65706562160640.

The previous prime is 131413124321287. The next prime is 131413124321317. The reversal of 131413124321312 is 213123421314131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89659764205456 + 41753360115856 = 9468884^2 + 6461684^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 4106660135041 = 131413124321312 / (1 + 3 + 1 + 4 + 1 + 3 + 1 + 2 + 4 + 3 + 2 + 1 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (131413124321317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2053330067489 + ... + 2053330067552.

Almost surely, 2^{131413124321312} is an apocalyptic number.

It is an amenable number.

131413124321312 is a deficient number, since it is larger than the sum of its proper divisors (127306464186334).

131413124321312 is an equidigital number, since it uses as much as digits as its factorization.

131413124321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106660135051 (or 4106660135043 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

Adding to 131413124321312 its reverse (213123421314131), we get a palindrome (344536545635443).

The spelling of 131413124321312 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-four million, three hundred twenty-one thousand, three hundred twelve".