131413101401001 has 16 divisors (see below), whose sum is σ = 212027861084544. Its totient is φ = 70675953694464.

The previous prime is 131413101400813. The next prime is 131413101401051. The reversal of 131413101401001 is 100104101314131.

It is not a de Polignac number, because 131413101401001 - 2¹⁹ = 131413100876713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131413101401051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184051962390 + ... + 184051963103.

It is an arithmetic number, because the mean of its divisors is an integer number (13251741317784).

Almost surely, 2^{131413101401001} is an apocalyptic number.

It is an amenable number.

131413101401001 is a deficient number, since it is larger than the sum of its proper divisors (80614759683543).

131413101401001 is a wasteful number, since it uses less digits than its factorization.

131413101401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368103925520.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131413101401001 its reverse (100104101314131), we get a palindrome (231517202715132).

The spelling of 131413101401001 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, four hundred one thousand, one".