1313010000120 has 1024 divisors, whose sum is σ = 5549973811200. Its totient is φ = 240311992320.

The previous prime is 1313010000097. The next prime is 1313010000131. The reversal of 1313010000120 is 210000103131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1313010000096 and 1313010000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 130499890 + ... + 130509950.

It is an arithmetic number, because the mean of its divisors is an integer number (5419896300).

Almost surely, 2^{1313010000120} is an apocalyptic number.

1313010000120 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 1313010000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774986905600).

1313010000120 is an abundant number, since it is smaller than the sum of its proper divisors (4236963811080).

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

1313010000120 is a wasteful number, since it uses less digits than its factorization.

1313010000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10168 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1313010000120 its reverse (210000103131), we get a palindrome (1523010103251).

The spelling of 1313010000120 in words is "one trillion, three hundred thirteen billion, ten million, one hundred twenty", and thus it is an aban number.