10144201221313 has 8 divisors (see below), whose sum is σ = 10146543620576. Its totient is φ = 10141859016000.

The previous prime is 10144201221307. The next prime is 10144201221361. The reversal of 10144201221313 is 31312210244101.

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 10144201221313 - 2⁴¹ = 7945177965761 is a prime.

It is a super-3 number, since 3×10144201221313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144208221313) 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, 164511538 + ... + 164573188.

It is an arithmetic number, because the mean of its divisors is an integer number (1268317952572).

Almost surely, 2^{10144201221313} is an apocalyptic number.

It is an amenable number.

10144201221313 is a deficient number, since it is larger than the sum of its proper divisors (2342399263).

10144201221313 is an equidigital number, since it uses as much as digits as its factorization.

10144201221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96975.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10144201221313 its reverse (31312210244101), we get a palindrome (41456411465414).

The spelling of 10144201221313 in words is "ten trillion, one hundred forty-four billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".