2013132200310 has 192 divisors, whose sum is σ = 6809411681280. Its totient is φ = 400125623040.

The previous prime is 2013132200291. The next prime is 2013132200323. The reversal of 2013132200310 is 130022313102.

2013132200310 is a `hidden beast` number, since 2 + 0 + 1 + 31 + 322 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×2013132200310² (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 95 ways as a sum of consecutive naturals, for example, 6155725 + ... + 6474504.

It is an arithmetic number, because the mean of its divisors is an integer number (35465685840).

Almost surely, 2^{2013132200310} is an apocalyptic number.

2013132200310 is an abundant number, since it is smaller than the sum of its proper divisors (4796279480970).

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

2013132200310 is a wasteful number, since it uses less digits than its factorization.

2013132200310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630283 (or 12630280 counting only the distinct ones).

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

Adding to 2013132200310 its reverse (130022313102), we get a palindrome (2143154513412).

The spelling of 2013132200310 in words is "two trillion, thirteen billion, one hundred thirty-two million, two hundred thousand, three hundred ten".