1311264504500 has 96 divisors (see below), whose sum is σ = 2872244802336. Its totient is φ = 522961920000.

The previous prime is 1311264504481. The next prime is 1311264504503. The reversal of 1311264504500 is 54054621131.

It can be written as a sum of positive squares in 16 ways, for example, as 1219792131364 + 91472373136 = 1104442^2 + 302444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311264504503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281566172 + ... + 281570828.

It is an arithmetic number, because the mean of its divisors is an integer number (29919216691).

Almost surely, 2^{1311264504500} is an apocalyptic number.

1311264504500 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 1311264504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436122401168).

1311264504500 is an abundant number, since it is smaller than the sum of its proper divisors (1560980297836).

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

1311264504500 is a wasteful number, since it uses less digits than its factorization.

1311264504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 1311264504500 in words is "one trillion, three hundred eleven billion, two hundred sixty-four million, five hundred four thousand, five hundred".