131033100105 has 12 divisors (see below), whose sum is σ = 227124040260. Its totient is φ = 69884320032.

The previous prime is 131033100101. The next prime is 131033100119. The reversal of 131033100105 is 501001330131.

It can be written as a sum of positive squares in 2 ways, for example, as 14116291344 + 116916808761 = 118812^2 + 341931^2 .

It is not a de Polignac number, because 131033100105 - 2² = 131033100101 is a prime.

It is a super-2 number, since 2×131033100105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131033100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455923290 + ... + 1455923379.

It is an arithmetic number, because the mean of its divisors is an integer number (18927003355).

Almost surely, 2^131033100105 is an apocalyptic number.

131033100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131033100105 is a deficient number, since it is larger than the sum of its proper divisors (96090940155).

131033100105 is a wasteful number, since it uses less digits than its factorization.

131033100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911846680 (or 2911846677 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 131033100105 its reverse (501001330131), we get a palindrome (632034430236).

The spelling of 131033100105 in words is "one hundred thirty-one billion, thirty-three million, one hundred thousand, one hundred five".