1343333102144 has 84 divisors (see below), whose sum is σ = 2959053280764. Its totient is φ = 604560000000.

The previous prime is 1343333102119. The next prime is 1343333102179. The reversal of 1343333102144 is 4412013333431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 997777236544 + 345555865600 = 998888^2 + 587840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1343333102144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76607 + ... + 1640894.

It is an arithmetic number, because the mean of its divisors is an integer number (35226824771).

Almost surely, 2^{1343333102144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343333102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479526640382).

1343333102144 is an abundant number, since it is smaller than the sum of its proper divisors (1615720178620).

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

1343333102144 is a wasteful number, since it uses less digits than its factorization.

1343333102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717636 (or 1717615 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1343333102144 its reverse (4412013333431), we get a palindrome (5755346435575).

The spelling of 1343333102144 in words is "one trillion, three hundred forty-three billion, three hundred thirty-three million, one hundred two thousand, one hundred forty-four".