2013118430400 has 4536 divisors, whose sum is σ = 10336404209040. Its totient is φ = 367873228800.

The previous prime is 2013118430377. The next prime is 2013118430431. The reversal of 2013118430400 is 40348113102.

2013118430400 is a `hidden beast` number, since 20 + 1 + 31 + 184 + 30 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 27576964764 + ... + 27576964836.

Almost surely, 2^{2013118430400} is an apocalyptic number.

2013118430400 is a gapful number since it is divisible by the number (20) 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 2013118430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168202104520).

2013118430400 is an abundant number, since it is smaller than the sum of its proper divisors (8323285778640).

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

2013118430400 is a wasteful number, since it uses less digits than its factorization.

2013118430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2013118430400 in words is "two trillion, thirteen billion, one hundred eighteen million, four hundred thirty thousand, four hundred".