10221013312003 has 8 divisors (see below), whose sum is σ = 11007359270208. Its totient is φ = 9434683663104.

The previous prime is 10221013311973. The next prime is 10221013312033. The reversal of 10221013312003 is 30021331012201.

It is an interprime number because it is at equal distance from previous prime (10221013311973) and next prime (10221013312033).

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 10221013312003 - 2²¹ = 10221011214851 is a prime.

It is a super-2 number, since 2×10221013312003² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221013312033) 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, 2759950 + ... + 5297107.

It is an arithmetic number, because the mean of its divisors is an integer number (1375919908776).

Almost surely, 2^{10221013312003} is an apocalyptic number.

10221013312003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10221013312003 is a deficient number, since it is larger than the sum of its proper divisors (786345958205).

10221013312003 is an equidigital number, since it uses as much as digits as its factorization.

10221013312003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154653.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10221013312003 its reverse (30021331012201), we get a palindrome (40242344324204).

The spelling of 10221013312003 in words is "ten trillion, two hundred twenty-one billion, thirteen million, three hundred twelve thousand, three".