2013135322500 has 315 divisors, whose sum is σ = 6606753211443. Its totient is φ = 536325300000.

The previous prime is 2013135322463. The next prime is 2013135322529. The reversal of 2013135322500 is 52235313102.

It is a happy number.

The square root of 2013135322500 is 1418850.

It is a perfect power (a square), and thus also a powerful number.

2013135322500 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 135 + 3 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157829809284 + 1855305513216 = 397278^2 + 1362096^2 .

It is a super-4 number, since 4×2013135322500⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1915446975 + ... + 1915448025.

Almost surely, 2^{2013135322500} is an apocalyptic number.

2013135322500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2013135322500 is the 1418850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013135322500

2013135322500 is an abundant number, since it is smaller than the sum of its proper divisors (4593617888943).

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

2013135322500 is an frugal number, since it uses more digits than its factorization.

2013135322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 2013135322500 in words is "two trillion, thirteen billion, one hundred thirty-five million, three hundred twenty-two thousand, five hundred".