31291104049105 has 8 divisors (see below), whose sum is σ = 37551212922600. Its totient is φ = 25031624530176.

The previous prime is 31291104049091. The next prime is 31291104049111. The reversal of 31291104049105 is 50194040119213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2477655439249 + 28813448609856 = 1574057^2 + 5367816^2 .

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 31291104049105 - 2³¹ = 31288956565457 is a prime.

It is a super-2 number, since 2×31291104049105² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 157229250 + ... + 157428139.

It is an arithmetic number, because the mean of its divisors is an integer number (4693901615325).

Almost surely, 2^{31291104049105} is an apocalyptic number.

It is an amenable number.

31291104049105 is a deficient number, since it is larger than the sum of its proper divisors (6260108873495).

31291104049105 is a wasteful number, since it uses less digits than its factorization.

31291104049105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314677283.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 31291104049105 in words is "thirty-one trillion, two hundred ninety-one billion, one hundred four million, forty-nine thousand, one hundred five".