10202210310013 has 8 divisors (see below), whose sum is σ = 10316937411000. Its totient is φ = 10087485331968.

The previous prime is 10202210310001. The next prime is 10202210310101. The reversal of 10202210310013 is 31001301220201.

It can be written as a sum of positive squares in 4 ways, for example, as 104896958884 + 10097313351129 = 323878^2 + 3177627^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10202210310013 - 2⁵ = 10202210309981 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 (10202210310713) 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, 10391263 + ... + 11330611.

It is an arithmetic number, because the mean of its divisors is an integer number (1289617176375).

Almost surely, 2^{10202210310013} is an apocalyptic number.

It is an amenable number.

10202210310013 is a deficient number, since it is larger than the sum of its proper divisors (114727100987).

10202210310013 is an equidigital number, since it uses as much as digits as its factorization.

10202210310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061471.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10202210310013 its reverse (31001301220201), we get a palindrome (41203511530214).

The spelling of 10202210310013 in words is "ten trillion, two hundred two billion, two hundred ten million, three hundred ten thousand, thirteen".