2013132100014 has 96 divisors (see below), whose sum is σ = 5069957168640. Its totient is φ = 565378574400.

The previous prime is 2013132099989. The next prime is 2013132100183. The reversal of 2013132100014 is 4100012313102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013132100014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681727 + ... + 11852805.

It is an arithmetic number, because the mean of its divisors is an integer number (52812053840).

Almost surely, 2^{2013132100014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132100014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534978584320).

2013132100014 is an abundant number, since it is smaller than the sum of its proper divisors (3056825068626).

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

2013132100014 is a wasteful number, since it uses less digits than its factorization.

2013132100014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172686 (or 172683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013132100014 its reverse (4100012313102), we get a palindrome (6113144413116).

The spelling of 2013132100014 in words is "two trillion, thirteen billion, one hundred thirty-two million, one hundred thousand, fourteen".