2013011332000 has 48 divisors (see below), whose sum is σ = 4945968852552. Its totient is φ = 805204531200.

The previous prime is 2013011331949. The next prime is 2013011332001. The reversal of 2013011332000 is 2331103102.

It can be written as a sum of positive squares in 4 ways, for example, as 690354927376 + 1322656404624 = 830876^2 + 1150068^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2013011332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251622417 + ... + 251630416.

Almost surely, 2^{2013011332000} is an apocalyptic number.

2013011332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013011332000 is an abundant number, since it is smaller than the sum of its proper divisors (2932957520552).

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

2013011332000 is an equidigital number, since it uses as much as digits as its factorization.

2013011332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503252858 (or 503252840 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2013011332000 its reverse (2331103102), we get a palindrome (2015342435102).

The spelling of 2013011332000 in words is "two trillion, thirteen billion, eleven million, three hundred thirty-two thousand".