1013331330 has 128 divisors (see below), whose sum is σ = 2961100800. Its totient is φ = 244555200.

The previous prime is 1013331299. The next prime is 1013331337. The reversal of 1013331330 is 331333101.

1013331330 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 331 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1013331337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804241 + ... + 805499.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^1013331330 is an apocalyptic number.

1013331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

1013331330 is an abundant number, since it is smaller than the sum of its proper divisors (1947769470).

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

1013331330 is a wasteful number, since it uses less digits than its factorization.

1013331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1013331330 is about 31832.8655637534. The cubic root of 1013331330 is about 1004.4241744816.

Adding to 1013331330 its reverse (331333101), we get a palindrome (1344664431).

The spelling of 1013331330 in words is "one billion, thirteen million, three hundred thirty-one thousand, three hundred thirty".