13314234421400 has 96 divisors (see below), whose sum is σ = 33771584216880. Its totient is φ = 4841275392000.

The previous prime is 13314234421337. The next prime is 13314234421451. The reversal of 13314234421400 is 412443241331.

It is a super-3 number, since 3×13314234421400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42649880 + ... + 42960920.

Almost surely, 2^{13314234421400} is an apocalyptic number.

13314234421400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13314234421400 is an abundant number, since it is smaller than the sum of its proper divisors (20457349795480).

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

13314234421400 is a wasteful number, since it uses less digits than its factorization.

13314234421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330525 (or 330516 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13314234421400 its reverse (412443241331), we get a palindrome (13726677662731).

The spelling of 13314234421400 in words is "thirteen trillion, three hundred fourteen billion, two hundred thirty-four million, four hundred twenty-one thousand, four hundred".