314132130600 has 192 divisors, whose sum is σ = 992514600000. Its totient is φ = 82165862400.

The previous prime is 314132130593. The next prime is 314132130643. The reversal of 314132130600 is 6031231413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16309776 + ... + 16329024.

It is an arithmetic number, because the mean of its divisors is an integer number (5169346875).

Almost surely, 2^314132130600 is an apocalyptic number.

314132130600 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 314132130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496257300000).

314132130600 is an abundant number, since it is smaller than the sum of its proper divisors (678382469400).

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

314132130600 is a wasteful number, since it uses less digits than its factorization.

314132130600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19788 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 314132130600 in words is "three hundred fourteen billion, one hundred thirty-two million, one hundred thirty thousand, six hundred".