31034022141304 has 256 divisors, whose sum is σ = 73643180728320. Its totient is φ = 11933565235200.

The previous prime is 31034022141301. The next prime is 31034022141389. The reversal of 31034022141304 is 40314122043013.

It is a happy number.

It is a super-2 number, since 2×31034022141304² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034022141301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10862449444 + ... + 10862452300.

It is an arithmetic number, because the mean of its divisors is an integer number (287668674720).

Almost surely, 2^{31034022141304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31034022141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36821590364160).

31034022141304 is an abundant number, since it is smaller than the sum of its proper divisors (42609158587016).

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

31034022141304 is a wasteful number, since it uses less digits than its factorization.

31034022141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 31034022141304 its reverse (40314122043013), we get a palindrome (71348144184317).

The spelling of 31034022141304 in words is "thirty-one trillion, thirty-four billion, twenty-two million, one hundred forty-one thousand, three hundred four".