20130128393370 has 128 divisors (see below), whose sum is σ = 51775570344960. Its totient is φ = 4990910346240.

The previous prime is 20130128393369. The next prime is 20130128393443. The reversal of 20130128393370 is 7339382103102.

It is a super-3 number, since 3×20130128393370³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648945721 + ... + 648976739.

It is an arithmetic number, because the mean of its divisors is an integer number (404496643320).

Almost surely, 2^{20130128393370} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130128393370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25887785172480).

20130128393370 is an abundant number, since it is smaller than the sum of its proper divisors (31645441951590).

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

20130128393370 is a wasteful number, since it uses less digits than its factorization.

20130128393370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46460.

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 20130128393370 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-eight million, three hundred ninety-three thousand, three hundred seventy".