2013916323328 has 320 divisors, whose sum is σ = 5121360211968. Its totient is φ = 769640693760.

The previous prime is 2013916323313. The next prime is 2013916323361. The reversal of 2013916323328 is 8233236193102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237808851 + ... + 1237810477.

Almost surely, 2^{2013916323328} is an apocalyptic number.

2013916323328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013916323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560680105984).

2013916323328 is an abundant number, since it is smaller than the sum of its proper divisors (3107443888640).

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

2013916323328 is a wasteful number, since it uses less digits than its factorization.

2013916323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 2013916323328 in words is "two trillion, thirteen billion, nine hundred sixteen million, three hundred twenty-three thousand, three hundred twenty-eight".