31130133120 has 96 divisors (see below), whose sum is σ = 107496260820. Its totient is φ = 8301367296.

The previous prime is 31130133107. The next prime is 31130133131. The reversal of 31130133120 is 2133103113.

It is a happy number.

31130133120 is a `hidden beast` number, since 3 + 11 + 301 + 331 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30602604096 + 527529024 = 174936^2 + 22968^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 31130133093 and 31130133102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2696509 + ... + 2708028.

Almost surely, 2^31130133120 is an apocalyptic number.

31130133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31130133120 is an abundant number, since it is smaller than the sum of its proper divisors (76366127700).

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

31130133120 is a wasteful number, since it uses less digits than its factorization.

31130133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404562 (or 5404547 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31130133120 its reverse (2133103113), we get a palindrome (33263236233).

The spelling of 31130133120 in words is "thirty-one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".