2013132001302 has 192 divisors, whose sum is σ = 4716182016000. Its totient is φ = 618692774400.

The previous prime is 2013132001301. The next prime is 2013132001339. The reversal of 2013132001302 is 2031002313102.

2013132001302 is a `hidden beast` number, since 20 + 1 + 313 + 200 + 130 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013132001301) 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, 882564402 + ... + 882566682.

It is an arithmetic number, because the mean of its divisors is an integer number (24563448000).

Almost surely, 2^{2013132001302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132001302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358091008000).

2013132001302 is an abundant number, since it is smaller than the sum of its proper divisors (2703050014698).

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

2013132001302 is a wasteful number, since it uses less digits than its factorization.

2013132001302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013132001302 its reverse (2031002313102), we get a palindrome (4044134314404).

The spelling of 2013132001302 in words is "two trillion, thirteen billion, one hundred thirty-two million, one thousand, three hundred two".