131010110001300 has 144 divisors (see below), whose sum is σ = 401359084499520. Its totient is φ = 32880496957440.

The previous prime is 131010110001289. The next prime is 131010110001307. The reversal of 131010110001300 is 3100011010131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010110001307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475728046 + ... + 476003354.

It is an arithmetic number, because the mean of its divisors is an integer number (2787215864580).

Almost surely, 2^{131010110001300} is an apocalyptic number.

131010110001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010110001300 is an abundant number, since it is smaller than the sum of its proper divisors (270348974498220).

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

131010110001300 is a wasteful number, since it uses less digits than its factorization.

131010110001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368650 (or 368643 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131010110001300 its reverse (3100011010131), we get a palindrome (134110121011431).

The spelling of 131010110001300 in words is "one hundred thirty-one trillion, ten billion, one hundred ten million, one thousand, three hundred".