1331350020 has 480 divisors, whose sum is σ = 5614430976. Its totient is φ = 255052800.

The previous prime is 1331350003. The next prime is 1331350049. The reversal of 1331350020 is 200531331.

1331350020 is a `hidden beast` number, since 133 + 13 + 500 + 20 = 666.

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 = 1331349975 and 1331350002.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1621210 + ... + 1622030.

Almost surely, 2^1331350020 is an apocalyptic number.

1331350020 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 1331350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807215488).

1331350020 is an abundant number, since it is smaller than the sum of its proper divisors (4283080956).

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

1331350020 is a wasteful number, since it uses less digits than its factorization.

1331350020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1331350020 is about 36487.6694240671. The cubic root of 1331350020 is about 1100.0964157913.

Adding to 1331350020 its reverse (200531331), we get a palindrome (1531881351).

The spelling of 1331350020 in words is "one billion, three hundred thirty-one million, three hundred fifty thousand, twenty".