13311144213000 has 64 divisors (see below), whose sum is σ = 41530769953920. Its totient is φ = 3549638456000.

The previous prime is 13311144212981. The next prime is 13311144213019. The reversal of 13311144213000 is 31244111331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13311144212981) and next prime (13311144213019).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2218521036 + ... + 2218527035.

It is an arithmetic number, because the mean of its divisors is an integer number (648918280530).

Almost surely, 2^{13311144213000} is an apocalyptic number.

13311144213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311144213000 is an abundant number, since it is smaller than the sum of its proper divisors (28219625740920).

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

13311144213000 is a wasteful number, since it uses less digits than its factorization.

13311144213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437048095 (or 4437048081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13311144213000 its reverse (31244111331), we get a palindrome (13342388324331).

The spelling of 13311144213000 in words is "thirteen trillion, three hundred eleven billion, one hundred forty-four million, two hundred thirteen thousand".