20513100321 has 192 divisors, whose sum is σ = 38645268480. Its totient is φ = 10216990080.

The previous prime is 20513100221. The next prime is 20513100341. The reversal of 20513100321 is 12300131502.

20513100321 is a `hidden beast` number, since 20 + 513 + 100 + 32 + 1 = 666.

It is not a de Polignac number, because 20513100321 - 2⁹ = 20513099809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20513100294 and 20513100303.

It is not an unprimeable number, because it can be changed into a prime (20513100341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107398336 + ... + 107398526.

It is an arithmetic number, because the mean of its divisors is an integer number (201277440).

Almost surely, 2^20513100321 is an apocalyptic number.

20513100321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20513100321 is a deficient number, since it is larger than the sum of its proper divisors (18132168159).

20513100321 is a wasteful number, since it uses less digits than its factorization.

20513100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 20513100321 its reverse (12300131502), we get a palindrome (32813231823).

The spelling of 20513100321 in words is "twenty billion, five hundred thirteen million, one hundred thousand, three hundred twenty-one".