11312112000033 has 96 divisors (see below), whose sum is σ = 17941322599200. Its totient is φ = 6826431209472.

The previous prime is 11312112000019. The next prime is 11312112000043. The reversal of 11312112000033 is 33000021121311.

It can be written as a sum of positive squares in 16 ways, for example, as 438658509969 + 10873453490064 = 662313^2 + 3297492^2 .

It is not a de Polignac number, because 11312112000033 - 2⁵ = 11312112000001 is a prime.

It is a super-3 number, since 3×11312112000033³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11312112000043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056312883 + ... + 1056323591.

It is an arithmetic number, because the mean of its divisors is an integer number (186888777075).

Almost surely, 2^{11312112000033} is an apocalyptic number.

11312112000033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11312112000033 is a deficient number, since it is larger than the sum of its proper divisors (6629210599167).

11312112000033 is a wasteful number, since it uses less digits than its factorization.

11312112000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312112000033 its reverse (33000021121311), we get a palindrome (44312133121344).

The spelling of 11312112000033 in words is "eleven trillion, three hundred twelve billion, one hundred twelve million, thirty-three", and thus it is an aban number.