1313130010100 has 18 divisors (see below), whose sum is σ = 2849492122134. Its totient is φ = 525252004000.

The previous prime is 1313130010099. The next prime is 1313130010123. The reversal of 1313130010100 is 10100313131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 109361167204 + 1203768842896 = 330698^2 + 1097164^2 .

It is a super-2 number, since 2×1313130010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6565649951 + ... + 6565650150.

Almost surely, 2^{1313130010100} is an apocalyptic number.

1313130010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313130010100 is an abundant number, since it is smaller than the sum of its proper divisors (1536362112034).

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

1313130010100 is a wasteful number, since it uses less digits than its factorization.

1313130010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131300115 (or 13131300108 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1313130010100 its reverse (10100313131), we get a palindrome (1323230323231).

The spelling of 1313130010100 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, ten thousand, one hundred".