314513012000 has 96 divisors (see below), whose sum is σ = 843009358464. Its totient is φ = 114368352000.

The previous prime is 314513011877. The next prime is 314513012029. The reversal of 314513012000 is 210315413.

It is a super-3 number, since 3×314513012000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3530012 + ... + 3618011.

It is an arithmetic number, because the mean of its divisors is an integer number (8781347484).

Almost surely, 2^314513012000 is an apocalyptic number.

It is an amenable number.

314513012000 is an abundant number, since it is smaller than the sum of its proper divisors (528496346464).

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

314513012000 is a wasteful number, since it uses less digits than its factorization.

314513012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148059 (or 7148041 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 314513012000 its reverse (210315413), we get a palindrome (314723327413).

The spelling of 314513012000 in words is "three hundred fourteen billion, five hundred thirteen million, twelve thousand".