10211003213313 has 16 divisors (see below), whose sum is σ = 15602020751360. Its totient is φ = 5818960176336.

The previous prime is 10211003213309. The next prime is 10211003213347. The reversal of 10211003213313 is 31331230011201.

It is a happy number.

It is not a de Polignac number, because 10211003213313 - 2² = 10211003213309 is a prime.

It is a super-2 number, since 2×10211003213313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211003213313.

It is not an unprimeable number, because it can be changed into a prime (10211003213353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662442223 + ... + 662457636.

It is an arithmetic number, because the mean of its divisors is an integer number (975126296960).

Almost surely, 2^{10211003213313} is an apocalyptic number.

It is an amenable number.

10211003213313 is a deficient number, since it is larger than the sum of its proper divisors (5391017538047).

10211003213313 is a wasteful number, since it uses less digits than its factorization.

10211003213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324900236.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10211003213313 its reverse (31331230011201), we get a palindrome (41542233224514).

The spelling of 10211003213313 in words is "ten trillion, two hundred eleven billion, three million, two hundred thirteen thousand, three hundred thirteen".