31434320121204 has 768 divisors, whose sum is σ = 107924909137920. Its totient is φ = 6851758325760.

The previous prime is 31434320121203. The next prime is 31434320121229. The reversal of 31434320121204 is 40212102343413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434320121203) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 616418332 + ... + 616469324.

It is an arithmetic number, because the mean of its divisors is an integer number (140527225440).

Almost surely, 2^{31434320121204} 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 31434320121204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53962454568960).

31434320121204 is an abundant number, since it is smaller than the sum of its proper divisors (76490589016716).

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

31434320121204 is a wasteful number, since it uses less digits than its factorization.

31434320121204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51160 (or 51158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31434320121204 its reverse (40212102343413), we get a palindrome (71646422464617).

The spelling of 31434320121204 in words is "thirty-one trillion, four hundred thirty-four billion, three hundred twenty million, one hundred twenty-one thousand, two hundred four".