10001311313213 has 16 divisors (see below), whose sum is σ = 11820975350976. Its totient is φ = 8358265386240.

The previous prime is 10001311313209. The next prime is 10001311313249. The reversal of 10001311313213 is 31231311310001.

It is not a de Polignac number, because 10001311313213 - 2² = 10001311313209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001311310213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621886706 + ... + 621902787.

It is an arithmetic number, because the mean of its divisors is an integer number (738810959436).

Almost surely, 2^{10001311313213} is an apocalyptic number.

It is an amenable number.

10001311313213 is a deficient number, since it is larger than the sum of its proper divisors (1819664037763).

10001311313213 is a wasteful number, since it uses less digits than its factorization.

10001311313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243789564.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10001311313213 its reverse (31231311310001), we get a palindrome (41232622623214).

The spelling of 10001311313213 in words is "ten trillion, one billion, three hundred eleven million, three hundred thirteen thousand, two hundred thirteen".