31030053120 has 648 divisors, whose sum is σ = 119656745208. Its totient is φ = 7418019840.

The previous prime is 31030053079. The next prime is 31030053121. The reversal of 31030053120 is 2135003013.

31030053120 is a `hidden beast` number, since 310 + 300 + 5 + 31 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3015327744 + 28014725376 = 54912^2 + 167376^2 .

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 = 31030053093 and 31030053102.

It is not an unprimeable number, because it can be changed into a prime (31030053121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157512862 + ... + 157513058.

It is an arithmetic number, because the mean of its divisors is an integer number (184655471).

Almost surely, 2^31030053120 is an apocalyptic number.

31030053120 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 31030053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59828372604).

31030053120 is an abundant number, since it is smaller than the sum of its proper divisors (88626692088).

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

31030053120 is a wasteful number, since it uses less digits than its factorization.

31030053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 31030053120 its reverse (2135003013), we get a palindrome (33165056133).

The spelling of 31030053120 in words is "thirty-one billion, thirty million, fifty-three thousand, one hundred twenty".