31312225201140 has 216 divisors, whose sum is σ = 102859619892120. Its totient is φ = 7706800078848.

The previous prime is 31312225201079. The next prime is 31312225201171. The reversal of 31312225201140 is 4110252221313.

It is a happy number.

31312225201140 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 2 + 22 + 520 + 114 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24402750327396 + 6909474873744 = 4939914^2 + 2628588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313671556 + ... + 313771364.

It is an arithmetic number, because the mean of its divisors is an integer number (476201943945).

Almost surely, 2^{31312225201140} is an apocalyptic number.

31312225201140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312225201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51429809946060).

31312225201140 is an abundant number, since it is smaller than the sum of its proper divisors (71547394690980).

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

31312225201140 is a wasteful number, since it uses less digits than its factorization.

31312225201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110163 (or 110145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31312225201140 its reverse (4110252221313), we get a palindrome (35422477422453).

The spelling of 31312225201140 in words is "thirty-one trillion, three hundred twelve billion, two hundred twenty-five million, two hundred one thousand, one hundred forty".