1013313110100 has 144 divisors (see below), whose sum is σ = 2938526088960. Its totient is φ = 269602560000.

The previous prime is 1013313110099. The next prime is 1013313110167. The reversal of 1013313110100 is 10113133101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013313110100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 470650624 + ... + 470652776.

Almost surely, 2^{1013313110100} is an apocalyptic number.

1013313110100 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 1013313110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469263044480).

1013313110100 is an abundant number, since it is smaller than the sum of its proper divisors (1925212978860).

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

1013313110100 is a wasteful number, since it uses less digits than its factorization.

1013313110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1013313110100 its reverse (10113133101), we get a palindrome (1023426243201).

The spelling of 1013313110100 in words is "one trillion, thirteen billion, three hundred thirteen million, one hundred ten thousand, one hundred".