314100001000 has 128 divisors (see below), whose sum is σ = 781342848000. Its totient is φ = 117848160000.

The previous prime is 314100000997. The next prime is 314100001003. The reversal of 314100001000 is 100001413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314100000997) and next prime (314100001003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (314100001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837161 + ... + 2000839.

It is an arithmetic number, because the mean of its divisors is an integer number (6104241000).

Almost surely, 2^314100001000 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 314100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390671424000).

314100001000 is an abundant number, since it is smaller than the sum of its proper divisors (467242847000).

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

314100001000 is a wasteful number, since it uses less digits than its factorization.

314100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163820 (or 163806 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 314100001000 its reverse (100001413), we get a palindrome (314200002413).

The spelling of 314100001000 in words is "three hundred fourteen billion, one hundred million, one thousand".