2013121890 has 128 divisors (see below), whose sum is σ = 5879865600. Its totient is φ = 487088640.

The previous prime is 2013121879. The next prime is 2013121909. The reversal of 2013121890 is 981213102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202230 + ... + 211950.

It is an arithmetic number, because the mean of its divisors is an integer number (45936450).

Almost surely, 2^2013121890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013121890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939932800).

2013121890 is an abundant number, since it is smaller than the sum of its proper divisors (3866743710).

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

2013121890 is a wasteful number, since it uses less digits than its factorization.

2013121890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2013121890 is about 44867.8268918832. The cubic root of 2013121890 is about 1262.6704699393.

Adding to 2013121890 its reverse (981213102), we get a palindrome (2994334992).

The spelling of 2013121890 in words is "two billion, thirteen million, one hundred twenty-one thousand, eight hundred ninety".