11021013638353 has 16 divisors (see below), whose sum is σ = 11917728805120. Its totient is φ = 10156112418816.

The previous prime is 11021013638339. The next prime is 11021013638359. The reversal of 11021013638353 is 35383631012011.

It is a cyclic number.

It is not a de Polignac number, because 11021013638353 - 2¹³ = 11021013630161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (11021013638359) 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 15 ways as a sum of consecutive naturals, for example, 637201 + ... + 4737937.

It is an arithmetic number, because the mean of its divisors is an integer number (744858050320).

Almost surely, 2^{11021013638353} is an apocalyptic number.

It is an amenable number.

11021013638353 is a deficient number, since it is larger than the sum of its proper divisors (896715166767).

11021013638353 is a wasteful number, since it uses less digits than its factorization.

11021013638353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104616.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 11021013638353 in words is "eleven trillion, twenty-one billion, thirteen million, six hundred thirty-eight thousand, three hundred fifty-three".