231311031120 has 240 divisors, whose sum is σ = 836975128080. Its totient is φ = 56910864384.

The previous prime is 231311031101. The next prime is 231311031169. The reversal of 231311031120 is 21130113132.

231311031120 is a `hidden beast` number, since 23 + 1 + 311 + 0 + 311 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5347704384 + 225963326736 = 73128^2 + 475356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×231311031120³ (a number of 35 digits) contains 333 as substring.

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 = 231311031093 and 231311031102.

It is a congruent number.

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, 25389126 + ... + 25398234.

It is an arithmetic number, because the mean of its divisors is an integer number (3487396367).

Almost surely, 2^231311031120 is an apocalyptic number.

231311031120 is a gapful number since it is divisible by the number (20) 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 231311031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418487564040).

231311031120 is an abundant number, since it is smaller than the sum of its proper divisors (605664096960).

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

231311031120 is a wasteful number, since it uses less digits than its factorization.

231311031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231311031120 its reverse (21130113132), we get a palindrome (252441144252).

The spelling of 231311031120 in words is "two hundred thirty-one billion, three hundred eleven million, thirty-one thousand, one hundred twenty".