311211211020 has 96 divisors (see below), whose sum is σ = 882216437760. Its totient is φ = 81960890880.

The previous prime is 311211210977. The next prime is 311211211049. The reversal of 311211211020 is 20112112113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4574655 + ... + 4642185.

It is an arithmetic number, because the mean of its divisors is an integer number (9189754560).

Almost surely, 2^311211211020 is an apocalyptic number.

311211211020 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 311211211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441108218880).

311211211020 is an abundant number, since it is smaller than the sum of its proper divisors (571005226740).

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

311211211020 is a wasteful number, since it uses less digits than its factorization.

311211211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68495 (or 68493 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 311211211020 its reverse (20112112113), we get a palindrome (331323323133).

The spelling of 311211211020 in words is "three hundred eleven billion, two hundred eleven million, two hundred eleven thousand, twenty".