20513214135200 has 144 divisors (see below), whose sum is σ = 50221227135744. Its totient is φ = 8181826329600.

The previous prime is 20513214135179. The next prime is 20513214135241. The reversal of 20513214135200 is 253141231502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497498585 + ... + 497539815.

It is an arithmetic number, because the mean of its divisors is an integer number (348758521776).

Almost surely, 2^{20513214135200} is an apocalyptic number.

20513214135200 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 20513214135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110613567872).

20513214135200 is an abundant number, since it is smaller than the sum of its proper divisors (29708013000544).

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

20513214135200 is a wasteful number, since it uses less digits than its factorization.

20513214135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43015 (or 43002 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 20513214135200 its reverse (253141231502), we get a palindrome (20766355366702).

The spelling of 20513214135200 in words is "twenty trillion, five hundred thirteen billion, two hundred fourteen million, one hundred thirty-five thousand, two hundred".