1310120233020 has 288 divisors, whose sum is σ = 4240141214400. Its totient is φ = 326292774912.

The previous prime is 1310120232973. The next prime is 1310120233057. The reversal of 1310120233020 is 203320210131.

1310120233020 is a `hidden beast` number, since 1 + 310 + 1 + 2 + 0 + 2 + 330 + 20 = 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 = 1310120232984 and 1310120233002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532784551 + ... + 532787009.

It is an arithmetic number, because the mean of its divisors is an integer number (14722712550).

Almost surely, 2^{1310120233020} is an apocalyptic number.

1310120233020 is a gapful number since it is divisible by the number (10) 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 1310120233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120070607200).

1310120233020 is an abundant number, since it is smaller than the sum of its proper divisors (2930020981380).

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

1310120233020 is a wasteful number, since it uses less digits than its factorization.

1310120233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310120233020 its reverse (203320210131), we get a palindrome (1513440443151).

The spelling of 1310120233020 in words is "one trillion, three hundred ten billion, one hundred twenty million, two hundred thirty-three thousand, twenty".