311432141000 has 192 divisors, whose sum is σ = 745473456000. Its totient is φ = 121770979200.

The previous prime is 311432140997. The next prime is 311432141047. The reversal of 311432141000 is 141234113.

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 47 ways as a sum of consecutive naturals, for example, 867498821 + ... + 867499179.

It is an arithmetic number, because the mean of its divisors is an integer number (3882674250).

Almost surely, 2^311432141000 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 311432141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372736728000).

311432141000 is an abundant number, since it is smaller than the sum of its proper divisors (434041315000).

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

311432141000 is a wasteful number, since it uses less digits than its factorization.

311432141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311432141000 its reverse (141234113), we get a palindrome (311573375113).

The spelling of 311432141000 in words is "three hundred eleven billion, four hundred thirty-two million, one hundred forty-one thousand".