420020013 has 24 divisors (see below), whose sum is σ = 654308928. Its totient is φ = 238961856.

The previous prime is 420020009. The next prime is 420020039. The reversal of 420020013 is 310020024.

It is not a de Polignac number, because 420020013 - 2² = 420020009 is a prime.

It is a super-2 number, since 2×420020013² = 352833622641040338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420020413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28120 + ... + 40382.

It is an arithmetic number, because the mean of its divisors is an integer number (27262872).

Almost surely, 2^420020013 is an apocalyptic number.

It is an amenable number.

420020013 is a deficient number, since it is larger than the sum of its proper divisors (234288915).

420020013 is a wasteful number, since it uses less digits than its factorization.

420020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420020013 is about 20494.3897933069. The cubic root of 420020013 is about 748.8991333586.

Adding to 420020013 its reverse (310020024), we get a palindrome (730040037).

The spelling of 420020013 in words is "four hundred twenty million, twenty thousand, thirteen".