31010343120 has 120 divisors (see below), whose sum is σ = 104304134376. Its totient is φ = 8256635904.

The previous prime is 31010343043. The next prime is 31010343163. The reversal of 31010343120 is 2134301013.

31010343120 is a `hidden beast` number, since 310 + 1 + 0 + 343 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1208535696 + 29801807424 = 34764^2 + 172632^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31010343093 and 31010343102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437182 + ... + 503138.

Almost surely, 2^31010343120 is an apocalyptic number.

31010343120 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 31010343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52152067188).

31010343120 is an abundant number, since it is smaller than the sum of its proper divisors (73293791256).

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

31010343120 is a wasteful number, since it uses less digits than its factorization.

31010343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66629 (or 66620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31010343120 its reverse (2134301013), we get a palindrome (33144644133).

The spelling of 31010343120 in words is "thirty-one billion, ten million, three hundred forty-three thousand, one hundred twenty".