10210200000013 has 64 divisors (see below), whose sum is σ = 12303575875584. Its totient is φ = 8391531456000.

The previous prime is 10210199999977. The next prime is 10210200000019. The reversal of 10210200000013 is 31000000201201.

It is a cyclic number.

It is not a de Polignac number, because 10210200000013 - 2¹⁷ = 10210199868941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210200000019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26792856 + ... + 27171262.

It is an arithmetic number, because the mean of its divisors is an integer number (192243373056).

Almost surely, 2^{10210200000013} is an apocalyptic number.

10210200000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10210200000013 is a deficient number, since it is larger than the sum of its proper divisors (2093375875571).

10210200000013 is a wasteful number, since it uses less digits than its factorization.

10210200000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378586.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10210200000013 its reverse (31000000201201), we get a palindrome (41210200201214).

The spelling of 10210200000013 in words is "ten trillion, two hundred ten billion, two hundred million, thirteen", and thus it is an aban number.