1083137666121 has 27 divisors (see below), whose sum is σ = 1820002734381. Its totient is φ = 618923320344.

The previous prime is 1083137666099. The next prime is 1083137666147. The reversal of 1083137666121 is 1216667313801.

The square root of 1083137666121 is 1040739.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1083137666121 - 2¹¹ = 1083137664073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1083137666321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21830740 + ... + 21880298.

Almost surely, 2^{1083137666121} is an apocalyptic number.

1083137666121 is the 1040739-th square number.

1083137666121 is the 520370-th centered octagonal number.

It is an amenable number.

1083137666121 is a deficient number, since it is larger than the sum of its proper divisors (736865068260).

1083137666121 is an frugal number, since it uses more digits than its factorization.

1083137666121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99138 (or 49569 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1083137666121 in words is "one trillion, eighty-three billion, one hundred thirty-seven million, six hundred sixty-six thousand, one hundred twenty-one".