1331020032 has 144 divisors (see below), whose sum is σ = 3793108032. Its totient is φ = 412876800.

The previous prime is 1331020027. The next prime is 1331020079. The reversal of 1331020032 is 2300201331.

It is a super-2 number, since 2×1331020032² = 3543228651170562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331019993 and 1331020020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265907 + ... + 1266957.

It is an arithmetic number, because the mean of its divisors is an integer number (26341028).

Almost surely, 2^1331020032 is an apocalyptic number.

1331020032 is a gapful number since it is divisible by the number (12) 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 1331020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896554016).

1331020032 is an abundant number, since it is smaller than the sum of its proper divisors (2462088000).

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

1331020032 is a wasteful number, since it uses less digits than its factorization.

1331020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1331020032 is about 36483.1472326607. The cubic root of 1331020032 is about 1100.0055184296.

Adding to 1331020032 its reverse (2300201331), we get a palindrome (3631221363).

The spelling of 1331020032 in words is "one billion, three hundred thirty-one million, twenty thousand, thirty-two".