1311625636332 has 576 divisors, whose sum is σ = 3851433492480. Its totient is φ = 345839155200.

The previous prime is 1311625636327. The next prime is 1311625636367. The reversal of 1311625636332 is 2336365261131.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (349920) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10327760853 + ... + 10327760979.

It is an arithmetic number, because the mean of its divisors is an integer number (6686516480).

Almost surely, 2^{1311625636332} is an apocalyptic number.

1311625636332 is a gapful number since it is divisible by the number (12) 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 1311625636332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925716746240).

1311625636332 is an abundant number, since it is smaller than the sum of its proper divisors (2539807856148).

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

1311625636332 is a wasteful number, since it uses less digits than its factorization.

1311625636332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 240 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The spelling of 1311625636332 in words is "one trillion, three hundred eleven billion, six hundred twenty-five million, six hundred thirty-six thousand, three hundred thirty-two".