1313322020010 has 384 divisors, whose sum is σ = 4708610210304. Its totient is φ = 245097031680.

The previous prime is 1313322020009. The next prime is 1313322020051. The reversal of 1313322020010 is 100202233131.

1313322020010 is a `hidden beast` number, since 1 + 313 + 322 + 0 + 20 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3136332 + ... + 3530328.

It is an arithmetic number, because the mean of its divisors is an integer number (12262005756).

Almost surely, 2^{1313322020010} is an apocalyptic number.

1313322020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313322020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354305105152).

1313322020010 is an abundant number, since it is smaller than the sum of its proper divisors (3395288190294).

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

1313322020010 is a wasteful number, since it uses less digits than its factorization.

1313322020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394078 (or 394075 counting only the distinct ones).

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

Adding to 1313322020010 its reverse (100202233131), we get a palindrome (1413524253141).

The spelling of 1313322020010 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, twenty thousand, ten".