10753311312 has 60 divisors (see below), whose sum is σ = 30587711284. Its totient is φ = 3525672960.

The previous prime is 10753311299. The next prime is 10753311377. The reversal of 10753311312 is 21311335701.

It is a happy number.

10753311312 is a `hidden beast` number, since 1 + 0 + 7 + 533 + 113 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1782190656 + 8971120656 = 42216^2 + 94716^2 .

It is a super-2 number, since 2×10753311312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603313 + ... + 620880.

Almost surely, 2^10753311312 is an apocalyptic number.

10753311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10753311312 is an abundant number, since it is smaller than the sum of its proper divisors (19834399972).

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

10753311312 is a wasteful number, since it uses less digits than its factorization.

10753311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224268 (or 1224259 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 10753311312 in words is "ten billion, seven hundred fifty-three million, three hundred eleven thousand, three hundred twelve".