13130331676100 has 36 divisors (see below), whose sum is σ = 29187766569108. Its totient is φ = 5124031872000.

The previous prime is 13130331676093. The next prime is 13130331676103. The reversal of 13130331676100 is 167613303131.

It can be written as a sum of positive squares in 6 ways, for example, as 6678203345284 + 6452128330816 = 2584222^2 + 2540104^2 .

It is a super-2 number, since 2×13130331676100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13130331676103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1601255861 + ... + 1601264060.

Almost surely, 2^{13130331676100} is an apocalyptic number.

13130331676100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130331676100 is an abundant number, since it is smaller than the sum of its proper divisors (16057434893008).

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

13130331676100 is a wasteful number, since it uses less digits than its factorization.

13130331676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202519976 (or 3202519969 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

Adding to 13130331676100 its reverse (167613303131), we get a palindrome (13297944979231).

The spelling of 13130331676100 in words is "thirteen trillion, one hundred thirty billion, three hundred thirty-one million, six hundred seventy-six thousand, one hundred".