131001100334300 has 144 divisors (see below), whose sum is σ = 326623949520960. Its totient is φ = 44674329047040.

The previous prime is 131001100334239. The next prime is 131001100334309. The reversal of 131001100334300 is 3433001100131.

It is a super-2 number, since 2×131001100334300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001100334309) 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 47 ways as a sum of consecutive naturals, for example, 161980532 + ... + 162787268.

Almost surely, 2^{131001100334300} is an apocalyptic number.

131001100334300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001100334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163311974760480).

131001100334300 is an abundant number, since it is smaller than the sum of its proper divisors (195622849186660).

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

131001100334300 is a wasteful number, since it uses less digits than its factorization.

131001100334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808000 (or 807993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131001100334300 its reverse (3433001100131), we get a palindrome (134434101434431).

The spelling of 131001100334300 in words is "one hundred thirty-one trillion, one billion, one hundred million, three hundred thirty-four thousand, three hundred".