202013130112002 has 160 divisors (see below), whose sum is σ = 524237114301120. Its totient is φ = 57463130833920.

The previous prime is 202013130111971. The next prime is 202013130112069. The reversal of 202013130112002 is 200211031310202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2684038 + ... + 20278814.

It is an arithmetic number, because the mean of its divisors is an integer number (3276481964382).

Almost surely, 2^{202013130112002} is an apocalyptic number.

202013130112002 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 202013130112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262118557150560).

202013130112002 is an abundant number, since it is smaller than the sum of its proper divisors (322223984189118).

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

202013130112002 is a wasteful number, since it uses less digits than its factorization.

202013130112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595198 (or 17595189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202013130112002 its reverse (200211031310202), we get a palindrome (402224161422204).

The spelling of 202013130112002 in words is "two hundred two trillion, thirteen billion, one hundred thirty million, one hundred twelve thousand, two".