131020214040201 has 16 divisors (see below), whose sum is σ = 176196653692928. Its totient is φ = 86596287926400.

The previous prime is 131020214040143. The next prime is 131020214040251. The reversal of 131020214040201 is 102040412020131.

It is not a de Polignac number, because 131020214040201 - 2²⁹ = 131019677169289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020214040251) 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 15 ways as a sum of consecutive naturals, for example, 123979660 + ... + 125031981.

It is an arithmetic number, because the mean of its divisors is an integer number (11012290855808).

Almost surely, 2^{131020214040201} is an apocalyptic number.

It is an amenable number.

131020214040201 is a deficient number, since it is larger than the sum of its proper divisors (45176439652727).

131020214040201 is a wasteful number, since it uses less digits than its factorization.

131020214040201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249013152.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 131020214040201 its reverse (102040412020131), we get a palindrome (233060626060332).

The spelling of 131020214040201 in words is "one hundred thirty-one trillion, twenty billion, two hundred fourteen million, forty thousand, two hundred one".