1310213220120 has 256 divisors, whose sum is σ = 5040710092800. Its totient is φ = 296512012800.

The previous prime is 1310213220091. The next prime is 1310213220137. The reversal of 1310213220120 is 210223120131.

1310213220120 is a `hidden beast` number, since 1 + 310 + 2 + 13 + 220 + 120 = 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 = 1310213220093 and 1310213220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94404 + ... + 1621523.

It is an arithmetic number, because the mean of its divisors is an integer number (19690273800).

Almost surely, 2^{1310213220120} is an apocalyptic number.

1310213220120 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 1310213220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520355046400).

1310213220120 is an abundant number, since it is smaller than the sum of its proper divisors (3730496872680).

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

1310213220120 is a wasteful number, since it uses less digits than its factorization.

1310213220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716055 (or 1716045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310213220120 its reverse (210223120131), we get a palindrome (1520436340251).

The spelling of 1310213220120 in words is "one trillion, three hundred ten billion, two hundred thirteen million, two hundred twenty thousand, one hundred twenty".