1020134401 has 16 divisors (see below), whose sum is σ = 1199435328. Its totient is φ = 855374400.

The previous prime is 1020134399. The next prime is 1020134411. The reversal of 1020134401 is 1044310201.

It is a cyclic number.

It is not a de Polignac number, because 1020134401 - 2¹ = 1020134399 is a prime.

It is a super-2 number, since 2×1020134401² = 2081348392207257602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020134411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265071 + ... + 268891.

It is an arithmetic number, because the mean of its divisors is an integer number (74964708).

Almost surely, 2^1020134401 is an apocalyptic number.

1020134401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020134401 is a deficient number, since it is larger than the sum of its proper divisors (179300927).

1020134401 is a wasteful number, since it uses less digits than its factorization.

1020134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1020134401 is about 31939.5429053078. The cubic root of 1020134401 is about 1006.6669203957. Note that the first 3 decimals are identical.

Adding to 1020134401 its reverse (1044310201), we get a palindrome (2064444602).

The spelling of 1020134401 in words is "one billion, twenty million, one hundred thirty-four thousand, four hundred one".