221011310013 has 64 divisors (see below), whose sum is σ = 334398516480. Its totient is φ = 128931360768.

The previous prime is 221011309991. The next prime is 221011310029. The reversal of 221011310013 is 310013110122.

It is a happy number.

It is not a de Polignac number, because 221011310013 - 2¹⁰ = 221011308989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011309974 and 221011310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011312013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9608995 + ... + 9631967.

It is an arithmetic number, because the mean of its divisors is an integer number (5224976820).

Almost surely, 2^221011310013 is an apocalyptic number.

It is an amenable number.

221011310013 is a deficient number, since it is larger than the sum of its proper divisors (113387206467).

221011310013 is a wasteful number, since it uses less digits than its factorization.

221011310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23198.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 221011310013 its reverse (310013110122), we get a palindrome (531024420135).

The spelling of 221011310013 in words is "two hundred twenty-one billion, eleven million, three hundred ten thousand, thirteen".