1012531311360 has 360 divisors, whose sum is σ = 3638022270960. Its totient is φ = 270001631232.

The previous prime is 1012531311353. The next prime is 1012531311361. The reversal of 1012531311360 is 631131352101.

It is a happy number.

1012531311360 is a `hidden beast` number, since 1 + 0 + 12 + 531 + 3 + 113 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1012531311361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25174146 + ... + 25214334.

Almost surely, 2^{1012531311360} is an apocalyptic number.

1012531311360 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 1012531311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819011135480).

1012531311360 is an abundant number, since it is smaller than the sum of its proper divisors (2625490959600).

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

1012531311360 is an frugal number, since it uses more digits than its factorization.

1012531311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40237 (or 40199 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 1012531311360 its reverse (631131352101), we get a palindrome (1643662663461).

The spelling of 1012531311360 in words is "one trillion, twelve billion, five hundred thirty-one million, three hundred eleven thousand, three hundred sixty".