2013000313302 has 96 divisors (see below), whose sum is σ = 4839947199360. Its totient is φ = 599499711360.

The previous prime is 2013000313223. The next prime is 2013000313391. The reversal of 2013000313302 is 2033130003102.

2013000313302 is a `hidden beast` number, since 2 + 0 + 1 + 300 + 0 + 31 + 330 + 2 = 666.

It is a super-2 number, since 2×2013000313302² (a number of 25 digits) contains 22 as substring.

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

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, 47559633 + ... + 47601939.

It is an arithmetic number, because the mean of its divisors is an integer number (50416116660).

Almost surely, 2^{2013000313302} is an apocalyptic number.

2013000313302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013000313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419973599680).

2013000313302 is an abundant number, since it is smaller than the sum of its proper divisors (2826946886058).

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

2013000313302 is a wasteful number, since it uses less digits than its factorization.

2013000313302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46458 (or 46455 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013000313302 its reverse (2033130003102), we get a palindrome (4046130316404).

The spelling of 2013000313302 in words is "two trillion, thirteen billion, three hundred thirteen thousand, three hundred two".