131303010233100 has 576 divisors, whose sum is σ = 418222987015680. Its totient is φ = 31670308454400.

The previous prime is 131303010233093. The next prime is 131303010233107. The reversal of 131303010233100 is 1332010303131.

It is an interprime number because it is at equal distance from previous prime (131303010233093) and next prime (131303010233107).

It is a super-2 number, since 2×131303010233100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131303010233107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5167159395 + ... + 5167184805.

It is an arithmetic number, because the mean of its divisors is an integer number (726081574680).

Almost surely, 2^{131303010233100} is an apocalyptic number.

131303010233100 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 131303010233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209111493507840).

131303010233100 is an abundant number, since it is smaller than the sum of its proper divisors (286919976782580).

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

131303010233100 is a wasteful number, since it uses less digits than its factorization.

131303010233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25818 (or 25811 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131303010233100 its reverse (1332010303131), we get a palindrome (132635020536231).

The spelling of 131303010233100 in words is "one hundred thirty-one trillion, three hundred three billion, ten million, two hundred thirty-three thousand, one hundred".