2013330301020 has 144 divisors (see below), whose sum is σ = 6277539279648. Its totient is φ = 521929474560.

The previous prime is 2013330300973. The next prime is 2013330301093. The reversal of 2013330301020 is 201030333102.

2013330301020 is a `hidden beast` number, since 2 + 0 + 13 + 330 + 301 + 0 + 20 = 666.

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 = 2013330300984 and 2013330301002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7669782 + ... + 7927938.

Almost surely, 2^{2013330301020} is an apocalyptic number.

2013330301020 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 2013330301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138769639824).

2013330301020 is an abundant number, since it is smaller than the sum of its proper divisors (4264208978628).

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

2013330301020 is a wasteful number, since it uses less digits than its factorization.

2013330301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259380 (or 259375 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013330301020 its reverse (201030333102), we get a palindrome (2214360634122).

It can be divided in two parts, 2013 and 330301020, that added together give a palindrome (330303033).

The spelling of 2013330301020 in words is "two trillion, thirteen billion, three hundred thirty million, three hundred one thousand, twenty".