10000000213013 has 8 divisors (see below), whose sum is σ = 10224026159232. Its totient is φ = 9776443432896.

The previous prime is 10000000213003. The next prime is 10000000213111. The reversal of 10000000213013 is 31031200000001.

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 10000000213013 - 2⁶ = 10000000212949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000000212985 and 10000000213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117248420 + ... + 117333677.

It is an arithmetic number, because the mean of its divisors is an integer number (1278003269904).

Almost surely, 2^{10000000213013} is an apocalyptic number.

It is an amenable number.

10000000213013 is a deficient number, since it is larger than the sum of its proper divisors (224025946219).

10000000213013 is an equidigital number, since it uses as much as digits as its factorization.

10000000213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234583051.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10000000213013 its reverse (31031200000001), we get a palindrome (41031200213014).

The spelling of 10000000213013 in words is "ten trillion, two hundred thirteen thousand, thirteen".