2013102020322 has 256 divisors, whose sum is σ = 4726842531840. Its totient is φ = 642429325440.

The previous prime is 2013102020227. The next prime is 2013102020333. The reversal of 2013102020322 is 2230202013102.

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 = 2013102020295 and 2013102020304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3111440203 + ... + 3111440849.

It is an arithmetic number, because the mean of its divisors is an integer number (18464228640).

Almost surely, 2^{2013102020322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013102020322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363421265920).

2013102020322 is an abundant number, since it is smaller than the sum of its proper divisors (2713740511518).

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

2013102020322 is an equidigital number, since it uses as much as digits as its factorization.

2013102020322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 999 counting only the distinct ones).

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

Adding to 2013102020322 its reverse (2230202013102), we get a palindrome (4243304033424).

The spelling of 2013102020322 in words is "two trillion, thirteen billion, one hundred two million, twenty thousand, three hundred twenty-two".