1020134011134 has 64 divisors (see below), whose sum is σ = 2435557395456. Its totient is φ = 278514491904.

The previous prime is 1020134011103. The next prime is 1020134011159. The reversal of 1020134011134 is 4311104310201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020134011134.

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 31 ways as a sum of consecutive naturals, for example, 433494 + ... + 1492710.

It is an arithmetic number, because the mean of its divisors is an integer number (38055584304).

Almost surely, 2^{1020134011134} is an apocalyptic number.

1020134011134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020134011134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217778697728).

1020134011134 is an abundant number, since it is smaller than the sum of its proper divisors (1415423384322).

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

1020134011134 is a wasteful number, since it uses less digits than its factorization.

1020134011134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060249.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1020134011134 its reverse (4311104310201), we get a palindrome (5331238321335).

The spelling of 1020134011134 in words is "one trillion, twenty billion, one hundred thirty-four million, eleven thousand, one hundred thirty-four".