1032013220 has 144 divisors (see below), whose sum is σ = 2747969280. Its totient is φ = 318253056.

The previous prime is 1032013217. The next prime is 1032013313. The reversal of 1032013220 is 223102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1032013195 and 1032013204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930026 + ... + 931134.

It is an arithmetic number, because the mean of its divisors is an integer number (19083120).

Almost surely, 2^1032013220 is an apocalyptic number.

1032013220 is a gapful number since it is divisible by the number (10) 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 1032013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373984640).

1032013220 is an abundant number, since it is smaller than the sum of its proper divisors (1715956060).

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

1032013220 is a wasteful number, since it uses less digits than its factorization.

1032013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1032013220 is about 32124.9625680716. The cubic root of 1032013220 is about 1010.5591845187.

Adding to 1032013220 its reverse (223102301), we get a palindrome (1255115521).

The spelling of 1032013220 in words is "one billion, thirty-two million, thirteen thousand, two hundred twenty".