1023134002020 has 144 divisors (see below), whose sum is σ = 3538840097520. Its totient is φ = 237033750528.

The previous prime is 1023134002013. The next prime is 1023134002061. The reversal of 1023134002020 is 202004313201.

1023134002020 is a `hidden beast` number, since 10 + 231 + 3 + 400 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20295991296 + 1002838010724 = 142464^2 + 1001418^2 .

It is a super-2 number, since 2×1023134002020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023134001984 and 1023134002002.

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 47 ways as a sum of consecutive naturals, for example, 12820125 + ... + 12899684.

It is an arithmetic number, because the mean of its divisors is an integer number (24575278455).

Almost surely, 2^{1023134002020} is an apocalyptic number.

1023134002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023134002020 is an abundant number, since it is smaller than the sum of its proper divisors (2515706095500).

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

1023134002020 is a wasteful number, since it uses less digits than its factorization.

1023134002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719854 (or 25719849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023134002020 its reverse (202004313201), we get a palindrome (1225138315221).

The spelling of 1023134002020 in words is "one trillion, twenty-three billion, one hundred thirty-four million, two thousand, twenty".