1342313353000 has 128 divisors (see below), whose sum is σ = 3334344717600. Its totient is φ = 504039936000.

The previous prime is 1342313352997. The next prime is 1342313353133. The reversal of 1342313353000 is 3533132431.

It can be written as a sum of positive squares in 16 ways, for example, as 164441604196 + 1177871748804 = 405514^2 + 1085298^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1342313353000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6511510 + ... + 6714490.

Almost surely, 2^{1342313353000} is an apocalyptic number.

1342313353000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342313353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667172358800).

1342313353000 is an abundant number, since it is smaller than the sum of its proper divisors (1992031364600).

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

1342313353000 is a wasteful number, since it uses less digits than its factorization.

1342313353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203408 (or 203394 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 1342313353000 its reverse (3533132431), we get a palindrome (1345846485431).

The spelling of 1342313353000 in words is "one trillion, three hundred forty-two billion, three hundred thirteen million, three hundred fifty-three thousand".