1071128522321 has 16 divisors (see below), whose sum is σ = 1266834340800. Its totient is φ = 892816547520.

The previous prime is 1071128522297. The next prime is 1071128522369. The reversal of 1071128522321 is 1232258211701.

It is a happy number.

1071128522321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1071128522321 - 2⁶ = 1071128522257 is a prime.

It is a super-2 number, since 2×1071128522321² (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 (1071128522371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25114295 + ... + 25156908.

It is an arithmetic number, because the mean of its divisors is an integer number (79177146300).

Almost surely, 2^{1071128522321} is an apocalyptic number.

1071128522321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1071128522321 is a deficient number, since it is larger than the sum of its proper divisors (195705818479).

1071128522321 is a wasteful number, since it uses less digits than its factorization.

1071128522321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50271376.

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 1071128522321 in words is "one trillion, seventy-one billion, one hundred twenty-eight million, five hundred twenty-two thousand, three hundred twenty-one".