1023120553121 has 16 divisors (see below), whose sum is σ = 1034151627600. Its totient is φ = 1012162314240.

The previous prime is 1023120553111. The next prime is 1023120553127. The reversal of 1023120553121 is 1213550213201.

It can be written as a sum of positive squares in 8 ways, for example, as 278462013025 + 744658540096 = 527695^2 + 862936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023120553121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023120553127) 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, 27368975 + ... + 27406331.

It is an arithmetic number, because the mean of its divisors is an integer number (64634476725).

Almost surely, 2^{1023120553121} is an apocalyptic number.

It is an amenable number.

1023120553121 is a deficient number, since it is larger than the sum of its proper divisors (11031074479).

1023120553121 is a wasteful number, since it uses less digits than its factorization.

1023120553121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38324.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 1023120553121 its reverse (1213550213201), we get a palindrome (2236670766322).

The spelling of 1023120553121 in words is "one trillion, twenty-three billion, one hundred twenty million, five hundred fifty-three thousand, one hundred twenty-one".