1331014132400 has 60 divisors (see below), whose sum is σ = 3198301855104. Its totient is φ = 532315680000.

The previous prime is 1331014132379. The next prime is 1331014132417. The reversal of 1331014132400 is 42314101331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2114225 + ... + 2670575.

Almost surely, 2^{1331014132400} is an apocalyptic number.

1331014132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331014132400 is an abundant number, since it is smaller than the sum of its proper divisors (1867287722704).

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

1331014132400 is a wasteful number, since it uses less digits than its factorization.

1331014132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562350 (or 562339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1331014132400 its reverse (42314101331), we get a palindrome (1373328233731).

The spelling of 1331014132400 in words is "one trillion, three hundred thirty-one billion, fourteen million, one hundred thirty-two thousand, four hundred".