311230153120 has 192 divisors, whose sum is σ = 772395142176. Its totient is φ = 118379888640.

The previous prime is 311230153111. The next prime is 311230153141. The reversal of 311230153120 is 21351032113.

It can be written as a sum of positive squares in 16 ways, for example, as 132196233744 + 179033919376 = 363588^2 + 423124^2 .

It is a super-2 number, since 2×311230153120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311230153091 and 311230153100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86909730 + ... + 86913310.

Almost surely, 2^311230153120 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 311230153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386197571088).

311230153120 is an abundant number, since it is smaller than the sum of its proper divisors (461164989056).

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

311230153120 is a wasteful number, since it uses less digits than its factorization.

311230153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 311230153120 its reverse (21351032113), we get a palindrome (332581185233).

The spelling of 311230153120 in words is "three hundred eleven billion, two hundred thirty million, one hundred fifty-three thousand, one hundred twenty".