10403301221313 has 64 divisors (see below), whose sum is σ = 18624767035392. Its totient is φ = 4988415098880.

The previous prime is 10403301221311. The next prime is 10403301221333. The reversal of 10403301221313 is 31312210330401.

It is not a de Polignac number, because 10403301221313 - 2¹ = 10403301221311 is a prime.

It is a super-3 number, since 3×10403301221313³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10403301221311) 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, 122729281 + ... + 122814017.

It is an arithmetic number, because the mean of its divisors is an integer number (291011984928).

Almost surely, 2^{10403301221313} is an apocalyptic number.

10403301221313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10403301221313 is a deficient number, since it is larger than the sum of its proper divisors (8221465814079).

10403301221313 is a wasteful number, since it uses less digits than its factorization.

10403301221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125654.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10403301221313 its reverse (31312210330401), we get a palindrome (41715511551714).

The spelling of 10403301221313 in words is "ten trillion, four hundred three billion, three hundred one million, two hundred twenty-one thousand, three hundred thirteen".