1331003134400 has 84 divisors (see below), whose sum is σ = 3304083218592. Its totient is φ = 527689666560.

The previous prime is 1331003134399. The next prime is 1331003134441. The reversal of 1331003134400 is 44313001331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3500072 + ... + 3861671.

Almost surely, 2^{1331003134400} is an apocalyptic number.

1331003134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331003134400 is an abundant number, since it is smaller than the sum of its proper divisors (1973080084192).

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

1331003134400 is a wasteful number, since it uses less digits than its factorization.

1331003134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361878 (or 7361863 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1331003134400 its reverse (44313001331), we get a palindrome (1375316135731).

The spelling of 1331003134400 in words is "one trillion, three hundred thirty-one billion, three million, one hundred thirty-four thousand, four hundred".