312041513000 has 128 divisors (see below), whose sum is σ = 834816153600. Its totient is φ = 106943616000.

The previous prime is 312041512999. The next prime is 312041513027. The reversal of 312041513000 is 315140213.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21615785 + ... + 21630215.

It is an arithmetic number, because the mean of its divisors is an integer number (6522001200).

Almost surely, 2^312041513000 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 312041513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417408076800).

312041513000 is an abundant number, since it is smaller than the sum of its proper divisors (522774640600).

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

312041513000 is a wasteful number, since it uses less digits than its factorization.

312041513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17548 (or 17534 counting only the distinct ones).

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

Adding to 312041513000 its reverse (315140213), we get a palindrome (312356653213).

The spelling of 312041513000 in words is "three hundred twelve billion, forty-one million, five hundred thirteen thousand".