201131420013 has 48 divisors (see below), whose sum is σ = 301480058880. Its totient is φ = 129077863200.

The previous prime is 201131419943. The next prime is 201131420033. The reversal of 201131420013 is 310024131102.

201131420013 is a `hidden beast` number, since 201 + 1 + 31 + 420 + 0 + 13 = 666.

It is not a de Polignac number, because 201131420013 - 2¹³ = 201131411821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131420033) 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 47 ways as a sum of consecutive naturals, for example, 63029248 + ... + 63032438.

It is an arithmetic number, because the mean of its divisors is an integer number (6280834560).

Almost surely, 2^201131420013 is an apocalyptic number.

It is an amenable number.

201131420013 is a deficient number, since it is larger than the sum of its proper divisors (100348638867).

201131420013 is a wasteful number, since it uses less digits than its factorization.

201131420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201131420013 its reverse (310024131102), we get a palindrome (511155551115).

The spelling of 201131420013 in words is "two hundred one billion, one hundred thirty-one million, four hundred twenty thousand, thirteen".