131413314443401 has 32 divisors (see below), whose sum is σ = 139678554267648. Its totient is φ = 123471993677760.

The previous prime is 131413314443399. The next prime is 131413314443419. The reversal of 131413314443401 is 104344413314131.

It is a cyclic number.

It is not a de Polignac number, because 131413314443401 - 2¹ = 131413314443399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413314443431) 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 31 ways as a sum of consecutive naturals, for example, 48206070 + ... + 50859136.

It is an arithmetic number, because the mean of its divisors is an integer number (4364954820864).

Almost surely, 2^{131413314443401} is an apocalyptic number.

It is an amenable number.

131413314443401 is a deficient number, since it is larger than the sum of its proper divisors (8265239824247).

131413314443401 is a wasteful number, since it uses less digits than its factorization.

131413314443401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653501.

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 131413314443401 its reverse (104344413314131), we get a palindrome (235757727757532).

The spelling of 131413314443401 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, four hundred forty-three thousand, four hundred one".