131413314201442 has 72 divisors (see below), whose sum is σ = 262321942848084. Its totient is φ = 48929585499648.

The previous prime is 131413314201383. The next prime is 131413314201457. The reversal of 131413314201442 is 244102413314131.

It can be written as a sum of positive squares in 6 ways, for example, as 106113711924801 + 25299602276641 = 10301151^2 + 5029871^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 131413314201398 and 131413314201407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178092313 + ... + 178828684.

Almost surely, 2^{131413314201442} is an apocalyptic number.

131413314201442 is a deficient number, since it is larger than the sum of its proper divisors (130908628646642).

131413314201442 is a wasteful number, since it uses less digits than its factorization.

131413314201442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356921060 (or 356921036 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131413314201442 its reverse (244102413314131), we get a palindrome (375515727515573).

The spelling of 131413314201442 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred one thousand, four hundred forty-two".