31005135555114 has 128 divisors (see below), whose sum is σ = 75499479724032. Its totient is φ = 8286216422400.

The previous prime is 31005135555109. The next prime is 31005135555133. The reversal of 31005135555114 is 41155553150013.

It is a super-2 number, since 2×31005135555114² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864815289 + ... + 864851139.

It is an arithmetic number, because the mean of its divisors is an integer number (589839685344).

Almost surely, 2^{31005135555114} is an apocalyptic number.

31005135555114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31005135555114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749739862016).

31005135555114 is an abundant number, since it is smaller than the sum of its proper divisors (44494344168918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31005135555114 is a wasteful number, since it uses less digits than its factorization.

31005135555114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43300.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 31005135555114 in words is "thirty-one trillion, five billion, one hundred thirty-five million, five hundred fifty-five thousand, one hundred fourteen".