1331020400 has 30 divisors (see below), whose sum is σ = 3197777472. Its totient is φ = 532408000.

The previous prime is 1331020393. The next prime is 1331020417. The reversal of 1331020400 is 40201331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1663376 + ... + 1664175.

Almost surely, 2^1331020400 is an apocalyptic number.

1331020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331020400 is an abundant number, since it is smaller than the sum of its proper divisors (1866757072).

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

1331020400 is a wasteful number, since it uses less digits than its factorization.

1331020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327569 (or 3327558 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1331020400 is about 36483.1522760849. The cubic root of 1331020400 is about 1100.0056198060.

Adding to 1331020400 its reverse (40201331), we get a palindrome (1371221731).

The spelling of 1331020400 in words is "one billion, three hundred thirty-one million, twenty thousand, four hundred".