31431313404120 has 256 divisors, whose sum is σ = 110278654295040. Its totient is φ = 7016714385408.

The previous prime is 31431313404107. The next prime is 31431313404121. The reversal of 31431313404120 is 2140431313413.

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 (31431313404121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734406562 + ... + 734449358.

It is an arithmetic number, because the mean of its divisors is an integer number (430775993340).

Almost surely, 2^{31431313404120} is an apocalyptic number.

31431313404120 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 31431313404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55139327147520).

31431313404120 is an abundant number, since it is smaller than the sum of its proper divisors (78847340890920).

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

31431313404120 is a wasteful number, since it uses less digits than its factorization.

31431313404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63194 (or 63190 counting only the distinct ones).

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

Adding to 31431313404120 its reverse (2140431313413), we get a palindrome (33571744717533).

The spelling of 31431313404120 in words is "thirty-one trillion, four hundred thirty-one billion, three hundred thirteen million, four hundred four thousand, one hundred twenty".