31131070420320 has 720 divisors, whose sum is σ = 119295366442560. Its totient is φ = 7641955196928.

The previous prime is 31131070420319. The next prime is 31131070420343. The reversal of 31131070420320 is 2302407013113.

It is a happy number.

31131070420320 is a `hidden beast` number, since 3 + 1 + 1 + 310 + 7 + 0 + 4 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×31131070420320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 803798716 + ... + 803837444.

It is an arithmetic number, because the mean of its divisors is an integer number (165688008948).

Almost surely, 2^{31131070420320} is an apocalyptic number.

31131070420320 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 31131070420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59647683221280).

31131070420320 is an abundant number, since it is smaller than the sum of its proper divisors (88164296022240).

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

31131070420320 is a wasteful number, since it uses less digits than its factorization.

31131070420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 31131070420320 its reverse (2302407013113), we get a palindrome (33433477433433).

The spelling of 31131070420320 in words is "thirty-one trillion, one hundred thirty-one billion, seventy million, four hundred twenty thousand, three hundred twenty".