21010010224013 has 8 divisors (see below), whose sum is σ = 21103638161088. Its totient is φ = 20916391698144.

The previous prime is 21010010223971. The next prime is 21010010224087. The reversal of 21010010224013 is 31042201001012.

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 21010010224013 - 2³⁰ = 21008936482189 is a prime.

It is a super-3 number, since 3×21010010224013³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21010010223982 and 21010010224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010010214013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2141120 + ... + 6826742.

It is an arithmetic number, because the mean of its divisors is an integer number (2637954770136).

Almost surely, 2^{21010010224013} is an apocalyptic number.

It is an amenable number.

21010010224013 is a deficient number, since it is larger than the sum of its proper divisors (93627937075).

21010010224013 is a wasteful number, since it uses less digits than its factorization.

21010010224013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705603.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21010010224013 its reverse (31042201001012), we get a palindrome (52052211225025).

The spelling of 21010010224013 in words is "twenty-one trillion, ten billion, ten million, two hundred twenty-four thousand, thirteen".