31123210303120 has 160 divisors (see below), whose sum is σ = 79837361269344. Its totient is φ = 11210105241600.

The previous prime is 31123210303043. The next prime is 31123210303127. The reversal of 31123210303120 is 2130301232113.

It can be written as a sum of positive squares in 16 ways, for example, as 23639199584256 + 7484010718864 = 4862016^2 + 2735692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31123210303091 and 31123210303100.

It is not an unprimeable number, because it can be changed into a prime (31123210303127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434081994 + ... + 434153686.

Almost surely, 2^{31123210303120} 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 31123210303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39918680634672).

31123210303120 is an abundant number, since it is smaller than the sum of its proper divisors (48714150966224).

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

31123210303120 is a wasteful number, since it uses less digits than its factorization.

31123210303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81941 (or 81935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31123210303120 its reverse (2130301232113), we get a palindrome (33253511535233).

The spelling of 31123210303120 in words is "thirty-one trillion, one hundred twenty-three billion, two hundred ten million, three hundred three thousand, one hundred twenty".