311012113000 has 128 divisors (see below), whose sum is σ = 745207257600. Its totient is φ = 121437792000.

The previous prime is 311012112997. The next prime is 311012113003. The reversal of 311012113000 is 311210113.

It is an interprime number because it is at equal distance from previous prime (311012112997) and next prime (311012113003).

It is not an unprimeable number, because it can be changed into a prime (311012113003) 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, 18274495 + ... + 18291505.

It is an arithmetic number, because the mean of its divisors is an integer number (5821931700).

Almost surely, 2^311012113000 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 311012113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372603628800).

311012113000 is an abundant number, since it is smaller than the sum of its proper divisors (434195144600).

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

311012113000 is a wasteful number, since it uses less digits than its factorization.

311012113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17468 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 311012113000 its reverse (311210113), we get a palindrome (311323323113).

The spelling of 311012113000 in words is "three hundred eleven billion, twelve million, one hundred thirteen thousand".