31214342331120 has 480 divisors, whose sum is σ = 106621132239360. Its totient is φ = 7548713103360.

The previous prime is 31214342331097. The next prime is 31214342331121. The reversal of 31214342331120 is 2113324341213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214342331121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5582959525 + ... + 5582965115.

It is an arithmetic number, because the mean of its divisors is an integer number (222127358832).

Almost surely, 2^{31214342331120} is an apocalyptic number.

31214342331120 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 31214342331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53310566119680).

31214342331120 is an abundant number, since it is smaller than the sum of its proper divisors (75406789908240).

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

31214342331120 is a wasteful number, since it uses less digits than its factorization.

31214342331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31214342331120 its reverse (2113324341213), we get a palindrome (33327666672333).

The spelling of 31214342331120 in words is "thirty-one trillion, two hundred fourteen billion, three hundred forty-two million, three hundred thirty-one thousand, one hundred twenty".