131144002013401 has 8 divisors (see below), whose sum is σ = 141240129936584. Its totient is φ = 121049035200000.

The previous prime is 131144002013389. The next prime is 131144002013419. The reversal of 131144002013401 is 104310200441131.

It can be written as a sum of positive squares in 4 ways, for example, as 199487289600 + 130944514723801 = 446640^2 + 11443099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131144002013401 - 2⁵ = 131144002013369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131144002013701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290042850 + ... + 290494651.

It is an arithmetic number, because the mean of its divisors is an integer number (17655016242073).

Almost surely, 2^{131144002013401} is an apocalyptic number.

It is an amenable number.

131144002013401 is a deficient number, since it is larger than the sum of its proper divisors (10096127923183).

131144002013401 is a wasteful number, since it uses less digits than its factorization.

131144002013401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580554891.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131144002013401 its reverse (104310200441131), we get a palindrome (235454202454532).

The spelling of 131144002013401 in words is "one hundred thirty-one trillion, one hundred forty-four billion, two million, thirteen thousand, four hundred one".