1013312001221 has 8 divisors (see below), whose sum is σ = 1091560831704. Its totient is φ = 935106278400.

The previous prime is 1013312001157. The next prime is 1013312001283. The reversal of 1013312001221 is 1221002133101.

It can be written as a sum of positive squares in 4 ways, for example, as 171714928225 + 841597072996 = 414385^2 + 917386^2 .

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 1013312001221 - 2⁶ = 1013312001157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013312001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312001521) 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, 10728080 + ... + 10822121.

It is an arithmetic number, because the mean of its divisors is an integer number (136445103963).

Almost surely, 2^{1013312001221} is an apocalyptic number.

It is an amenable number.

1013312001221 is a deficient number, since it is larger than the sum of its proper divisors (78248830483).

1013312001221 is a wasteful number, since it uses less digits than its factorization.

1013312001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553831.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1013312001221 its reverse (1221002133101), we get a palindrome (2234314134322).

The spelling of 1013312001221 in words is "one trillion, thirteen billion, three hundred twelve million, one thousand, two hundred twenty-one".