314531153210120 has 256 divisors, whose sum is σ = 901190474956800. Its totient is φ = 95939540213760.

The previous prime is 314531153210081. The next prime is 314531153210143. The reversal of 314531153210120 is 21012351135413.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1410285176 + ... + 1410508184.

It is an arithmetic number, because the mean of its divisors is an integer number (3520275292800).

Almost surely, 2^{314531153210120} 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 314531153210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450595237478400).

314531153210120 is an abundant number, since it is smaller than the sum of its proper divisors (586659321746680).

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

314531153210120 is a wasteful number, since it uses less digits than its factorization.

314531153210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232828 (or 232824 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 314531153210120 in words is "three hundred fourteen trillion, five hundred thirty-one billion, one hundred fifty-three million, two hundred ten thousand, one hundred twenty".