31442100113 has 8 divisors (see below), whose sum is σ = 32811101568. Its totient is φ = 30073261504.

The previous prime is 31442100077. The next prime is 31442100161. The reversal of 31442100113 is 31100124413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31442100113 - 2²⁸ = 31173664657 is a prime.

It is a super-3 number, since 3×31442100113³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31442100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515945 + ... + 573657.

It is an arithmetic number, because the mean of its divisors is an integer number (4101387696).

Almost surely, 2^31442100113 is an apocalyptic number.

It is an amenable number.

31442100113 is a deficient number, since it is larger than the sum of its proper divisors (1369001455).

31442100113 is a wasteful number, since it uses less digits than its factorization.

31442100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81423.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31442100113 its reverse (31100124413), we get a palindrome (62542224526).

The spelling of 31442100113 in words is "thirty-one billion, four hundred forty-two million, one hundred thousand, one hundred thirteen".