31105241601 has 96 divisors (see below), whose sum is σ = 51909580800. Its totient is φ = 16470034560.

The previous prime is 31105241537. The next prime is 31105241617. The reversal of 31105241601 is 10614250113.

It is a happy number.

It is not a de Polignac number, because 31105241601 - 2⁶ = 31105241537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31105241641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25267656 + ... + 25268886.

It is an arithmetic number, because the mean of its divisors is an integer number (540724800).

Almost surely, 2^31105241601 is an apocalyptic number.

It is an amenable number.

31105241601 is a deficient number, since it is larger than the sum of its proper divisors (20804339199).

31105241601 is a wasteful number, since it uses less digits than its factorization.

31105241601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 31105241601 its reverse (10614250113), we get a palindrome (41719491714).

The spelling of 31105241601 in words is "thirty-one billion, one hundred five million, two hundred forty-one thousand, six hundred one".