31120001033013 has 12 divisors (see below), whose sum is σ = 46501150969260. Its totient is φ = 20031265032576.

The previous prime is 31120001032961. The next prime is 31120001033029. The reversal of 31120001033013 is 31033010002113.

It is a happy number.

31120001033013 is a `hidden beast` number, since 311 + 2 + 0 + 0 + 0 + 10 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26072798459409 + 5047202573604 = 5106153^2 + 2246598^2 .

It is not a de Polignac number, because 31120001033013 - 2¹² = 31120001028917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120001033113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59616859956 + ... + 59616860477.

It is an arithmetic number, because the mean of its divisors is an integer number (3875095914105).

Almost surely, 2^{31120001033013} is an apocalyptic number.

It is an amenable number.

31120001033013 is a deficient number, since it is larger than the sum of its proper divisors (15381149936247).

31120001033013 is a wasteful number, since it uses less digits than its factorization.

31120001033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119233720468 (or 119233720465 counting only the distinct ones).

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

Adding to 31120001033013 its reverse (31033010002113), we get a palindrome (62153011035126).

The spelling of 31120001033013 in words is "thirty-one trillion, one hundred twenty billion, one million, thirty-three thousand, thirteen".