2013321420 has 180 divisors, whose sum is σ = 6942906432. Its totient is φ = 488030400.

The previous prime is 2013321403. The next prime is 2013321437. The reversal of 2013321420 is 241233102.

It is an interprime number because it is at equal distance from previous prime (2013321403) and next prime (2013321437).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013321393 and 2013321402.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 190885 + ... + 201155.

Almost surely, 2^2013321420 is an apocalyptic number.

2013321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471453216).

2013321420 is an abundant number, since it is smaller than the sum of its proper divisors (4929585012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013321420 is a wasteful number, since it uses less digits than its factorization.

2013321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013321420 is about 44870.0503677007. The cubic root of 2013321420 is about 1262.7121849686.

Adding to 2013321420 its reverse (241233102), we get a palindrome (2254554522).

The spelling of 2013321420 in words is "two billion, thirteen million, three hundred twenty-one thousand, four hundred twenty".