1331812680 has 128 divisors (see below), whose sum is σ = 4451604480. Its totient is φ = 315979520.

The previous prime is 1331812649. The next prime is 1331812681. The reversal of 1331812680 is 862181331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1331812681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51307 + ... + 72773.

It is an arithmetic number, because the mean of its divisors is an integer number (34778160).

Almost surely, 2^1331812680 is an apocalyptic number.

1331812680 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 1331812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225802240).

1331812680 is an abundant number, since it is smaller than the sum of its proper divisors (3119791800).

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

1331812680 is a wasteful number, since it uses less digits than its factorization.

1331812680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1331812680 is about 36494.0088233672. The cubic root of 1331812680 is about 1100.2238332381.

The spelling of 1331812680 in words is "one billion, three hundred thirty-one million, eight hundred twelve thousand, six hundred eighty".