31201133013 has 20 divisors (see below), whose sum is σ = 47247589708. Its totient is φ = 20515809600.

The previous prime is 31201132999. The next prime is 31201133057. The reversal of 31201133013 is 31033110213.

It is a happy number.

31201133013 is a `hidden beast` number, since 312 + 0 + 11 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24010432209 + 7190700804 = 154953^2 + 84798^2 .

It is not a de Polignac number, because 31201133013 - 2⁴ = 31201132997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201133063) 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 19 ways as a sum of consecutive naturals, for example, 2632438 + ... + 2644263.

Almost surely, 2^31201133013 is an apocalyptic number.

It is an amenable number.

31201133013 is a deficient number, since it is larger than the sum of its proper divisors (16046456695).

31201133013 is an equidigital number, since it uses as much as digits as its factorization.

31201133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276786 (or 5276777 counting only the distinct ones).

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

Adding to 31201133013 its reverse (31033110213), we get a palindrome (62234243226).

The spelling of 31201133013 in words is "thirty-one billion, two hundred one million, one hundred thirty-three thousand, thirteen".