311102213002000 has 320 divisors, whose sum is σ = 897172755268608. Its totient is φ = 102016358400000.

The previous prime is 311102213001953. The next prime is 311102213002033. The reversal of 311102213002000 is 200312201113.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 3896482080 + ... + 3896561920.

Almost surely, 2^{311102213002000} 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 311102213002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448586377634304).

311102213002000 is an abundant number, since it is smaller than the sum of its proper divisors (586070542266608).

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

311102213002000 is a wasteful number, since it uses less digits than its factorization.

311102213002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91995 (or 91979 counting only the distinct ones).

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

Adding to 311102213002000 its reverse (200312201113), we get a palindrome (311302525203113).

The spelling of 311102213002000 in words is "three hundred eleven trillion, one hundred two billion, two hundred thirteen million, two thousand".