1315132350336 has 320 divisors, whose sum is σ = 4475913187680. Its totient is φ = 375501422592.

The previous prime is 1315132350317. The next prime is 1315132350403. The reversal of 1315132350336 is 6330532315131.

1315132350336 is a `hidden beast` number, since 1 + 3 + 15 + 132 + 3 + 503 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1315132350336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127220560 + ... + 127230896.

Almost surely, 2^{1315132350336} is an apocalyptic number.

1315132350336 is a gapful number since it is divisible by the number (16) 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 1315132350336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237956593840).

1315132350336 is an abundant number, since it is smaller than the sum of its proper divisors (3160780837344).

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

1315132350336 is a wasteful number, since it uses less digits than its factorization.

1315132350336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 1315132350336 its reverse (6330532315131), we get a palindrome (7645664665467).

The spelling of 1315132350336 in words is "one trillion, three hundred fifteen billion, one hundred thirty-two million, three hundred fifty thousand, three hundred thirty-six".