10213320031213 has 16 divisors (see below), whose sum is σ = 11054736529200. Its totient is φ = 9379992499200.

The previous prime is 10213320031193. The next prime is 10213320031247. The reversal of 10213320031213 is 31213002331201.

It can be written as a sum of positive squares in 8 ways, for example, as 676451966089 + 9536868065124 = 822467^2 + 3088182^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213320031213 - 2³³ = 10204730096621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213320031273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490398 + ... + 4546111.

It is an arithmetic number, because the mean of its divisors is an integer number (690921033075).

Almost surely, 2^{10213320031213} is an apocalyptic number.

10213320031213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10213320031213 is a deficient number, since it is larger than the sum of its proper divisors (841416497987).

10213320031213 is a wasteful number, since it uses less digits than its factorization.

10213320031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037312.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10213320031213 its reverse (31213002331201), we get a palindrome (41426322362414).

The spelling of 10213320031213 in words is "ten trillion, two hundred thirteen billion, three hundred twenty million, thirty-one thousand, two hundred thirteen".