1011123201321 has 6 divisors (see below), whose sum is σ = 1460511290810. Its totient is φ = 674082134208.

The previous prime is 1011123201301. The next prime is 1011123201329. The reversal of 1011123201321 is 1231023211101.

1011123201321 is a `hidden beast` number, since 1 + 0 + 11 + 12 + 320 + 1 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 593886009600 + 417237191721 = 770640^2 + 645939^2 .

It is not a de Polignac number, because 1011123201321 - 2¹⁷ = 1011123070249 is a prime.

It is a super-2 number, since 2×1011123201321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011123201294 and 1011123201303.

It is not an unprimeable number, because it can be changed into a prime (1011123201329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56173511176 + ... + 56173511193.

Almost surely, 2^{1011123201321} is an apocalyptic number.

It is an amenable number.

1011123201321 is a deficient number, since it is larger than the sum of its proper divisors (449388089489).

1011123201321 is a wasteful number, since it uses less digits than its factorization.

1011123201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112347022375 (or 112347022372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011123201321 its reverse (1231023211101), we get a palindrome (2242146412422).

The spelling of 1011123201321 in words is "one trillion, eleven billion, one hundred twenty-three million, two hundred one thousand, three hundred twenty-one".