10200221313 has 8 divisors (see below), whose sum is σ = 13830808800. Its totient is φ = 6684890688.

The previous prime is 10200221299. The next prime is 10200221329. The reversal of 10200221313 is 31312200201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10200221313 - 2¹⁸ = 10199959169 is a prime.

It is a super-3 number, since 3×10200221313³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200221292 and 10200221301.

It is not an unprimeable number, because it can be changed into a prime (10200221333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28814008 + ... + 28814361.

It is an arithmetic number, because the mean of its divisors is an integer number (1728851100).

Almost surely, 2^10200221313 is an apocalyptic number.

It is an amenable number.

10200221313 is a deficient number, since it is larger than the sum of its proper divisors (3630587487).

10200221313 is an equidigital number, since it uses as much as digits as its factorization.

10200221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57628431.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10200221313 its reverse (31312200201), we get a palindrome (41512421514).

The spelling of 10200221313 in words is "ten billion, two hundred million, two hundred twenty-one thousand, three hundred thirteen".