13121244331314 has 128 divisors (see below), whose sum is σ = 31810870167552. Its totient is φ = 3522267141120.

The previous prime is 13121244331267. The next prime is 13121244331361. The reversal of 13121244331314 is 41313344212131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13121244331267) and next prime (13121244331361).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1554093177 + ... + 1554101619.

It is an arithmetic number, because the mean of its divisors is an integer number (248522423184).

Almost surely, 2^{13121244331314} is an apocalyptic number.

13121244331314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121244331314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15905435083776).

13121244331314 is an abundant number, since it is smaller than the sum of its proper divisors (18689625836238).

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

13121244331314 is a wasteful number, since it uses less digits than its factorization.

13121244331314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000.

The product of its digits is 20736, while the sum is 33.

Adding to 13121244331314 its reverse (41313344212131), we get a palindrome (54434588543445).

The spelling of 13121244331314 in words is "thirteen trillion, one hundred twenty-one billion, two hundred forty-four million, three hundred thirty-one thousand, three hundred fourteen".