2013033112002 has 160 divisors (see below), whose sum is σ = 5181104459520. Its totient is φ = 577751395680.

The previous prime is 2013033112001. The next prime is 2013033112033. The reversal of 2013033112002 is 2002113303102.

2013033112002 is a `hidden beast` number, since 2 + 0 + 130 + 331 + 1 + 200 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2013033112001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214079433 + ... + 214088835.

It is an arithmetic number, because the mean of its divisors is an integer number (32381902872).

Almost surely, 2^{2013033112002} is an apocalyptic number.

2013033112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013033112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590552229760).

2013033112002 is an abundant number, since it is smaller than the sum of its proper divisors (3168071347518).

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

2013033112002 is a wasteful number, since it uses less digits than its factorization.

2013033112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013033112002 its reverse (2002113303102), we get a palindrome (4015146415104).

The spelling of 2013033112002 in words is "two trillion, thirteen billion, thirty-three million, one hundred twelve thousand, two".