13003120322100 has 108 divisors (see below), whose sum is σ = 40811118298860. Its totient is φ = 3462942067200.

The previous prime is 13003120322069. The next prime is 13003120322113. The reversal of 13003120322100 is 122302130031.

13003120322100 is a `hidden beast` number, since 1 + 30 + 0 + 312 + 0 + 322 + 1 + 0 + 0 = 666.

13003120322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6122477204496 + 6880643117604 = 2474364^2 + 2623098^2 .

It is a super-2 number, since 2×13003120322100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8807815 + ... + 10177614.

Almost surely, 2^{13003120322100} is an apocalyptic number.

13003120322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003120322100 is an abundant number, since it is smaller than the sum of its proper divisors (27807997976760).

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

13003120322100 is a wasteful number, since it uses less digits than its factorization.

13003120322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18986210 (or 18986200 counting only the distinct ones).

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

Adding to 13003120322100 its reverse (122302130031), we get a palindrome (13125422452131).

The spelling of 13003120322100 in words is "thirteen trillion, three billion, one hundred twenty million, three hundred twenty-two thousand, one hundred".