314130052301000 has 256 divisors, whose sum is σ = 818963446392000. Its totient is φ = 111978893107200.

The previous prime is 314130052300963. The next prime is 314130052301003. The reversal of 314130052301000 is 103250031413.

It can be written as a sum of positive squares in 32 ways, for example, as 5661458701924 + 308468593599076 = 2379382^2 + 17563274^2 .

It is not an unprimeable number, because it can be changed into a prime (314130052301003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8267214002 + ... + 8267251998.

Almost surely, 2^{314130052301000} 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 314130052301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409481723196000).

314130052301000 is an abundant number, since it is smaller than the sum of its proper divisors (504833394091000).

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

314130052301000 is a wasteful number, since it uses less digits than its factorization.

314130052301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59989 (or 59975 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 314130052301000 in words is "three hundred fourteen trillion, one hundred thirty billion, fifty-two million, three hundred one thousand".