311111001300000 has 1440 divisors, whose sum is σ = 1131730597105920. Its totient is φ = 74825625600000.

The previous prime is 311111001299951. The next prime is 311111001300089. The reversal of 311111001300000 is 3100111113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 847713899817 + ... + 847713900183.

It is an arithmetic number, because the mean of its divisors is an integer number (785924025768).

Almost surely, 2^{311111001300000} is an apocalyptic number.

311111001300000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311111001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565865298552960).

311111001300000 is an abundant number, since it is smaller than the sum of its proper divisors (820619595805920).

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

311111001300000 is an frugal number, since it uses more digits than its factorization.

311111001300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 311111001300000 its reverse (3100111113), we get a palindrome (311114101411113).

The spelling of 311111001300000 in words is "three hundred eleven trillion, one hundred eleven billion, one million, three hundred thousand".