10221301013013 has 12 divisors (see below), whose sum is σ = 14764132638528. Its totient is φ = 6814186286760.

The previous prime is 10221301012969. The next prime is 10221301013071. The reversal of 10221301013013 is 31031010312201.

10221301013013 is a `hidden beast` number, since 1 + 0 + 221 + 301 + 0 + 130 + 13 = 666.

It is not a de Polignac number, because 10221301013013 - 2²⁴ = 10221284235797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221301013083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4971078 + ... + 6719688.

It is an arithmetic number, because the mean of its divisors is an integer number (1230344386544).

Almost surely, 2^{10221301013013} is an apocalyptic number.

It is an amenable number.

10221301013013 is a deficient number, since it is larger than the sum of its proper divisors (4542831625515).

10221301013013 is a wasteful number, since it uses less digits than its factorization.

10221301013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398104 (or 2398101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10221301013013 its reverse (31031010312201), we get a palindrome (41252311325214).

The spelling of 10221301013013 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, thirteen thousand, thirteen".