311123101111020 has 288 divisors, whose sum is σ = 1057602767457600. Its totient is φ = 73368444487680.

The previous prime is 311123101111003. The next prime is 311123101111051. The reversal of 311123101111020 is 20111101321113.

311123101111020 is a `hidden beast` number, since 31 + 112 + 310 + 111 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311123101110984 and 311123101111002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319880406 + ... + 320851554.

It is an arithmetic number, because the mean of its divisors is an integer number (3672231831450).

Almost surely, 2^{311123101111020} is an apocalyptic number.

311123101111020 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 311123101111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528801383728800).

311123101111020 is an abundant number, since it is smaller than the sum of its proper divisors (746479666346580).

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

311123101111020 is a wasteful number, since it uses less digits than its factorization.

311123101111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975585 (or 975580 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 311123101111020 its reverse (20111101321113), we get a palindrome (331234202432133).

The spelling of 311123101111020 in words is "three hundred eleven trillion, one hundred twenty-three billion, one hundred one million, one hundred eleven thousand, twenty".