2013188132956 has 288 divisors, whose sum is σ = 4957315292160. Its totient is φ = 690705792000.

The previous prime is 2013188132941. The next prime is 2013188132959. The reversal of 2013188132956 is 6592318813102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013188132959) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273193240 + ... + 273200608.

It is an arithmetic number, because the mean of its divisors is an integer number (17212900320).

Almost surely, 2^{2013188132956} is an apocalyptic number.

2013188132956 is a gapful number since it is divisible by the number (26) 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 2013188132956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478657646080).

2013188132956 is an abundant number, since it is smaller than the sum of its proper divisors (2944127159204).

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

2013188132956 is a wasteful number, since it uses less digits than its factorization.

2013188132956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 2013188132956 in words is "two trillion, thirteen billion, one hundred eighty-eight million, one hundred thirty-two thousand, nine hundred fifty-six".