2013127461180 has 192 divisors, whose sum is σ = 6860787816960. Its totient is φ = 486005529600.

The previous prime is 2013127461173. The next prime is 2013127461181. The reversal of 2013127461180 is 811647213102.

2013127461180 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 12 + 7 + 461 + 180 = 666.

It is a super-3 number, since 3×2013127461180³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013127461181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728407 + ... + 2134673.

It is an arithmetic number, because the mean of its divisors is an integer number (35733269880).

Almost surely, 2^{2013127461180} is an apocalyptic number.

2013127461180 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 2013127461180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430393908480).

2013127461180 is an abundant number, since it is smaller than the sum of its proper divisors (4847660355780).

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

2013127461180 is a wasteful number, since it uses less digits than its factorization.

2013127461180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406537 (or 1406529 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 2013127461180 in words is "two trillion, thirteen billion, one hundred twenty-seven million, four hundred sixty-one thousand, one hundred eighty".