1020134011136 has 144 divisors (see below), whose sum is σ = 2278028188800. Its totient is φ = 453096013824.

The previous prime is 1020134011103. The next prime is 1020134011159. The reversal of 1020134011136 is 6311104310201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22220141 + ... + 22266003.

It is an arithmetic number, because the mean of its divisors is an integer number (15819640200).

Almost surely, 2^{1020134011136} is an apocalyptic number.

1020134011136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020134011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139014094400).

1020134011136 is an abundant number, since it is smaller than the sum of its proper divisors (1257894177664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020134011136 is a wasteful number, since it uses less digits than its factorization.

1020134011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46184 (or 46170 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1020134011136 its reverse (6311104310201), we get a palindrome (7331238321337).

The spelling of 1020134011136 in words is "one trillion, twenty billion, one hundred thirty-four million, eleven thousand, one hundred thirty-six".