31300112001033 has 12 divisors (see below), whose sum is σ = 45719264721780. Its totient is φ = 20632283565696.

The previous prime is 31300112001001. The next prime is 31300112001061. The reversal of 31300112001033 is 33010021100313.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17699926008384 + 13600185992649 = 4207128^2 + 3687843^2 .

It is not a de Polignac number, because 31300112001033 - 2⁵ = 31300112001001 is a prime.

It is a super-2 number, since 2×31300112001033² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31300112000997 and 31300112001015.

It is not an unprimeable number, because it can be changed into a prime (31300112001073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19538146516 + ... + 19538148117.

It is an arithmetic number, because the mean of its divisors is an integer number (3809938726815).

Almost surely, 2^{31300112001033} is an apocalyptic number.

It is an amenable number.

31300112001033 is a deficient number, since it is larger than the sum of its proper divisors (14419152720747).

31300112001033 is a wasteful number, since it uses less digits than its factorization.

31300112001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39076294728 (or 39076294725 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31300112001033 its reverse (33010021100313), we get a palindrome (64310133101346).

The spelling of 31300112001033 in words is "thirty-one trillion, three hundred billion, one hundred twelve million, one thousand, thirty-three".