10221131310013 has 4 divisors (see below), whose sum is σ = 11007372180028. Its totient is φ = 9434890440000.

The previous prime is 10221131309999. The next prime is 10221131310041. The reversal of 10221131310013 is 31001313112201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5163679051129 + 5057452258884 = 2272373^2 + 2248878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221131310013 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 (10221131317013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393120434988 + ... + 393120435013.

It is an arithmetic number, because the mean of its divisors is an integer number (2751843045007).

Almost surely, 2^{10221131310013} is an apocalyptic number.

10221131310013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10221131310013 is a deficient number, since it is larger than the sum of its proper divisors (786240870015).

10221131310013 is an equidigital number, since it uses as much as digits as its factorization.

10221131310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786240870014.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10221131310013 its reverse (31001313112201), we get a palindrome (41222444422214).

The spelling of 10221131310013 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred ten thousand, thirteen".