1413331011100 has 72 divisors (see below), whose sum is σ = 3302375665680. Its totient is φ = 523059256320.

The previous prime is 1413331011097. The next prime is 1413331011121. The reversal of 1413331011100 is 11101333141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6945219 + ... + 7145818.

It is an arithmetic number, because the mean of its divisors is an integer number (45866328690).

Almost surely, 2^{1413331011100} is an apocalyptic number.

1413331011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413331011100 is an abundant number, since it is smaller than the sum of its proper divisors (1889044654580).

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

1413331011100 is a wasteful number, since it uses less digits than its factorization.

1413331011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14091127 (or 14091120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1413331011100 its reverse (11101333141), we get a palindrome (1424432344241).

The spelling of 1413331011100 in words is "one trillion, four hundred thirteen billion, three hundred thirty-one million, eleven thousand, one hundred".