10313201330100 has 54 divisors (see below), whose sum is σ = 32326156616390. Its totient is φ = 2750187021120.

The previous prime is 10313201330027. The next prime is 10313201330101. The reversal of 10313201330100 is 103310231301.

It is a happy number.

10313201330100 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 320 + 1 + 330 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 417558931344 + 9895642398756 = 646188^2 + 3145734^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313201330101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5729555395 + ... + 5729557194.

Almost surely, 2^{10313201330100} is an apocalyptic number.

10313201330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313201330100 is an abundant number, since it is smaller than the sum of its proper divisors (22012955286290).

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

10313201330100 is a wasteful number, since it uses less digits than its factorization.

10313201330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11459112609 (or 11459112599 counting only the distinct ones).

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

Adding to 10313201330100 its reverse (103310231301), we get a palindrome (10416511561401).

The spelling of 10313201330100 in words is "ten trillion, three hundred thirteen billion, two hundred one million, three hundred thirty thousand, one hundred".