1012315013352 has 48 divisors (see below), whose sum is σ = 2741880469380. Its totient is φ = 337414464000.

The previous prime is 1012315013351. The next prime is 1012315013407. The reversal of 1012315013352 is 2533105132101.

1012315013352 is a `hidden beast` number, since 1 + 0 + 12 + 315 + 0 + 1 + 335 + 2 = 666.

1012315013352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 684680122116 + 327634891236 = 827454^2 + 572394^2 .

It is not an unprimeable number, because it can be changed into a prime (1012315013351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542352 + ... + 1522752.

Almost surely, 2^{1012315013352} is an apocalyptic number.

1012315013352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012315013352 is an abundant number, since it is smaller than the sum of its proper divisors (1729565456028).

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

1012315013352 is a wasteful number, since it uses less digits than its factorization.

1012315013352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994754 (or 994747 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1012315013352 in words is "one trillion, twelve billion, three hundred fifteen million, thirteen thousand, three hundred fifty-two".