1020123135 has 24 divisors (see below), whose sum is σ = 1774618560. Its totient is φ = 542094912.

The previous prime is 1020123121. The next prime is 1020123151. The reversal of 1020123135 is 5313210201.

It is not a de Polignac number, because 1020123135 - 2¹⁵ = 1020090367 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28455 + ... + 53384.

It is an arithmetic number, because the mean of its divisors is an integer number (73942440).

Almost surely, 2^1020123135 is an apocalyptic number.

1020123135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020123135 is a deficient number, since it is larger than the sum of its proper divisors (754495425).

1020123135 is a wasteful number, since it uses less digits than its factorization.

1020123135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82127 (or 82124 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1020123135 is about 31939.3665403683. The cubic root of 1020123135 is about 1006.6632146254.

Adding to 1020123135 its reverse (5313210201), we get a palindrome (6333333336).

The spelling of 1020123135 in words is "one billion, twenty million, one hundred twenty-three thousand, one hundred thirty-five".