312000413101000 has 512 divisors, whose sum is σ = 799430591232000. Its totient is φ = 113285867520000.

The previous prime is 312000413100979. The next prime is 312000413101019. The reversal of 312000413101000 is 101314000213.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146547867936 + ... + 146547870064.

It is an arithmetic number, because the mean of its divisors is an integer number (1561387873500).

Almost surely, 2^{312000413101000} 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 312000413101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399715295616000).

312000413101000 is an abundant number, since it is smaller than the sum of its proper divisors (487430178131000).

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

312000413101000 is a wasteful number, since it uses less digits than its factorization.

312000413101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312000413101000 its reverse (101314000213), we get a palindrome (312101727101213).

The spelling of 312000413101000 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand".