1313295120352 has 96 divisors (see below), whose sum is σ = 2779657171200. Its totient is φ = 608914787328.

The previous prime is 1313295120349. The next prime is 1313295120367. The reversal of 1313295120352 is 2530215923131.

It is a super-3 number, since 3×1313295120352³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8279613 + ... + 8436739.

It is an arithmetic number, because the mean of its divisors is an integer number (28954762200).

Almost surely, 2^{1313295120352} 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 1313295120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389828585600).

1313295120352 is an abundant number, since it is smaller than the sum of its proper divisors (1466362050848).

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

1313295120352 is a wasteful number, since it uses less digits than its factorization.

1313295120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157448 (or 157440 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 1313295120352 in words is "one trillion, three hundred thirteen billion, two hundred ninety-five million, one hundred twenty thousand, three hundred fifty-two".