1313033010120 has 192 divisors, whose sum is σ = 4623812182080. Its totient is φ = 321225067008.

The previous prime is 1313033010083. The next prime is 1313033010131. The reversal of 1313033010120 is 210103303131.

It is a happy number.

1313033010120 is a `hidden beast` number, since 1 + 313 + 0 + 330 + 1 + 0 + 1 + 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 = 1313033010093 and 1313033010102.

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, 97782 + ... + 1623461.

It is an arithmetic number, because the mean of its divisors is an integer number (24082355115).

Almost surely, 2^{1313033010120} is an apocalyptic number.

1313033010120 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 1313033010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311906091040).

1313033010120 is an abundant number, since it is smaller than the sum of its proper divisors (3310779171960).

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

1313033010120 is a wasteful number, since it uses less digits than its factorization.

1313033010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721436 (or 1721429 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313033010120 its reverse (210103303131), we get a palindrome (1523136313251).

The spelling of 1313033010120 in words is "one trillion, three hundred thirteen billion, thirty-three million, ten thousand, one hundred twenty".