1331379200 has 132 divisors (see below), whose sum is σ = 3333776952. Its totient is φ = 527155200.

The previous prime is 1331379193. The next prime is 1331379211. The reversal of 1331379200 is 29731331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3353402 + ... + 3353798.

It is an arithmetic number, because the mean of its divisors is an integer number (25255886).

Almost surely, 2^1331379200 is an apocalyptic number.

1331379200 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 1331379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666888476).

1331379200 is an abundant number, since it is smaller than the sum of its proper divisors (2002397752).

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

1331379200 is a wasteful number, since it uses less digits than its factorization.

1331379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 1331379200 is about 36488.0692829862. The cubic root of 1331379200 is about 1100.1044528911.

The spelling of 1331379200 in words is "one billion, three hundred thirty-one million, three hundred seventy-nine thousand, two hundred".