1313331110010 has 96 divisors (see below), whose sum is σ = 3440749777920. Its totient is φ = 347554627200.

The previous prime is 1313331109949. The next prime is 1313331110081. The reversal of 1313331110010 is 100111333131.

1313331110010 is a `hidden beast` number, since 1 + 313 + 331 + 1 + 10 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7111440 + ... + 7293780.

It is an arithmetic number, because the mean of its divisors is an integer number (35841143520).

Almost surely, 2^{1313331110010} is an apocalyptic number.

1313331110010 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 1313331110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720374888960).

1313331110010 is an abundant number, since it is smaller than the sum of its proper divisors (2127418667910).

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

1313331110010 is a wasteful number, since it uses less digits than its factorization.

1313331110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182964 (or 182961 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1313331110010 its reverse (100111333131), we get a palindrome (1413442443141).

The spelling of 1313331110010 in words is "one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred ten thousand, ten".