1331335104 has 112 divisors (see below), whose sum is σ = 3852428160. Its totient is φ = 402416640.

The previous prime is 1331335081. The next prime is 1331335121. The reversal of 1331335104 is 4015331331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1560342 + ... + 1561194.

It is an arithmetic number, because the mean of its divisors is an integer number (34396680).

Almost surely, 2^1331335104 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 1331335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926214080).

1331335104 is an abundant number, since it is smaller than the sum of its proper divisors (2521093056).

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

1331335104 is a wasteful number, since it uses less digits than its factorization.

1331335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1331335104 is about 36487.4650256770. The cubic root of 1331335104 is about 1100.0923074052.

Adding to 1331335104 its reverse (4015331331), we get a palindrome (5346666435).

The spelling of 1331335104 in words is "one billion, three hundred thirty-one million, three hundred thirty-five thousand, one hundred four".