31322121240340 has 384 divisors, whose sum is σ = 84501247057920. Its totient is φ = 9493537996800.

The previous prime is 31322121240329. The next prime is 31322121240341. The reversal of 31322121240340 is 4304212122313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31322121240299 and 31322121240308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322121240341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9815768145 + ... + 9815771335.

It is an arithmetic number, because the mean of its divisors is an integer number (220055330880).

Almost surely, 2^{31322121240340} 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 31322121240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42250623528960).

31322121240340 is an abundant number, since it is smaller than the sum of its proper divisors (53179125817580).

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

31322121240340 is a wasteful number, since it uses less digits than its factorization.

31322121240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5029 counting only the distinct ones).

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

Adding to 31322121240340 its reverse (4304212122313), we get a palindrome (35626333362653).

The spelling of 31322121240340 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, two hundred forty thousand, three hundred forty".