201420134013 has 96 divisors (see below), whose sum is σ = 325663027200. Its totient is φ = 108454566528.

The previous prime is 201420133979. The next prime is 201420134021. The reversal of 201420134013 is 310431024102.

It is not a de Polignac number, because 201420134013 - 2⁸ = 201420133757 is a prime.

It is a super-4 number, since 4×201420134013⁴ (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201420134033) 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 95 ways as a sum of consecutive naturals, for example, 284090103 + ... + 284090811.

It is an arithmetic number, because the mean of its divisors is an integer number (3392323200).

Almost surely, 2^201420134013 is an apocalyptic number.

201420134013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201420134013 is a deficient number, since it is larger than the sum of its proper divisors (124242893187).

201420134013 is a wasteful number, since it uses less digits than its factorization.

201420134013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201420134013 its reverse (310431024102), we get a palindrome (511851158115).

The spelling of 201420134013 in words is "two hundred one billion, four hundred twenty million, one hundred thirty-four thousand, thirteen".