2013123533200 has 240 divisors, whose sum is σ = 5383533931776. Its totient is φ = 718719897600.

The previous prime is 2013123533191. The next prime is 2013123533257. The reversal of 2013123533200 is 23353213102.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 20235580 + ... + 20334820.

Almost surely, 2^{2013123533200} is an apocalyptic number.

2013123533200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013123533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691766965888).

2013123533200 is an abundant number, since it is smaller than the sum of its proper divisors (3370410398576).

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

2013123533200 is a wasteful number, since it uses less digits than its factorization.

2013123533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99402 (or 99391 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 2013123533200 its reverse (23353213102), we get a palindrome (2036476746302).

The spelling of 2013123533200 in words is "two trillion, thirteen billion, one hundred twenty-three million, five hundred thirty-three thousand, two hundred".