1311524253120 has 112 divisors (see below), whose sum is σ = 4195876848768. Its totient is φ = 347069998080.

The previous prime is 1311524253079. The next prime is 1311524253139. The reversal of 1311524253120 is 213524251131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5088634 + ... + 5340153.

Almost surely, 2^{1311524253120} is an apocalyptic number.

1311524253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311524253120 is an abundant number, since it is smaller than the sum of its proper divisors (2884352595648).

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

1311524253120 is a wasteful number, since it uses less digits than its factorization.

1311524253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428938 (or 10428928 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1311524253120 in words is "one trillion, three hundred eleven billion, five hundred twenty-four million, two hundred fifty-three thousand, one hundred twenty".