1020413124 has 144 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 315025920.

The previous prime is 1020413087. The next prime is 1020413137. The reversal of 1020413124 is 4213140201.

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 = 1020413097 and 1020413106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495099 + ... + 4495325.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 2^1020413124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020413124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

1020413124 is an abundant number, since it is smaller than the sum of its proper divisors (1758159036).

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

1020413124 is a wasteful number, since it uses less digits than its factorization.

1020413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1020413124 is about 31943.9058976826. The cubic root of 1020413124 is about 1006.7585931773.

Adding to 1020413124 its reverse (4213140201), we get a palindrome (5233553325).

The spelling of 1020413124 in words is "one billion, twenty million, four hundred thirteen thousand, one hundred twenty-four".