31431304214334 has 96 divisors (see below), whose sum is σ = 73129917968640. Its totient is φ = 9720957523200.

The previous prime is 31431304214333. The next prime is 31431304214371. The reversal of 31431304214334 is 43341240313413.

31431304214334 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 1 + 304 + 2 + 14 + 334 = 666.

It is a super-2 number, since 2×31431304214334² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431304214333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238463869 + ... + 238595639.

It is an arithmetic number, because the mean of its divisors is an integer number (761769978840).

Almost surely, 2^{31431304214334} is an apocalyptic number.

31431304214334 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 31431304214334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36564958984320).

31431304214334 is an abundant number, since it is smaller than the sum of its proper divisors (41698613754306).

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

31431304214334 is a wasteful number, since it uses less digits than its factorization.

31431304214334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142846 (or 142843 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31431304214334 its reverse (43341240313413), we get a palindrome (74772544527747).

The spelling of 31431304214334 in words is "thirty-one trillion, four hundred thirty-one billion, three hundred four million, two hundred fourteen thousand, three hundred thirty-four".