1013322313121 has 8 divisors (see below), whose sum is σ = 1027227036264. Its totient is φ = 999418227840.

The previous prime is 1013322313109. The next prime is 1013322313163. The reversal of 1013322313121 is 1213132233101.

It can be written as a sum of positive squares in 4 ways, for example, as 245401344400 + 767920968721 = 495380^2 + 876311^2 .

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 1013322313121 - 2²⁶ = 1013255204257 is a prime.

It is a super-2 number, since 2×1013322313121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013322318121) 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, 3664115 + ... + 3930951.

It is an arithmetic number, because the mean of its divisors is an integer number (128403379533).

Almost surely, 2^{1013322313121} is an apocalyptic number.

It is an amenable number.

1013322313121 is a deficient number, since it is larger than the sum of its proper divisors (13904723143).

1013322313121 is an equidigital number, since it uses as much as digits as its factorization.

1013322313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318931.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1013322313121 its reverse (1213132233101), we get a palindrome (2226454546222).

The spelling of 1013322313121 in words is "one trillion, thirteen billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-one".