31113072173201 has 16 divisors (see below), whose sum is σ = 32765881924800. Its totient is φ = 29461793442048.

The previous prime is 31113072173149. The next prime is 31113072173273. The reversal of 31113072173201 is 10237127031113.

It is a cyclic number.

It is not a de Polignac number, because 31113072173201 - 2¹⁰ = 31113072172177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31113072133201) 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 15 ways as a sum of consecutive naturals, for example, 414709445 + ... + 414784461.

It is an arithmetic number, because the mean of its divisors is an integer number (2047867620300).

Almost surely, 2^{31113072173201} is an apocalyptic number.

It is an amenable number.

31113072173201 is a deficient number, since it is larger than the sum of its proper divisors (1652809751599).

31113072173201 is a wasteful number, since it uses less digits than its factorization.

31113072173201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84928.

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 31113072173201 in words is "thirty-one trillion, one hundred thirteen billion, seventy-two million, one hundred seventy-three thousand, two hundred one".