131000133001312 has 48 divisors (see below), whose sum is σ = 258984405630720. Its totient is φ = 65226502836352.

The previous prime is 131000133001291. The next prime is 131000133001321. The reversal of 131000133001312 is 213100331000131.

It is a super-2 number, since 2×131000133001312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000133001312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19489239 + ... + 25334377.

It is an arithmetic number, because the mean of its divisors is an integer number (5395508450640).

Almost surely, 2^{131000133001312} is an apocalyptic number.

It is an amenable number.

131000133001312 is a deficient number, since it is larger than the sum of its proper divisors (127984272629408).

131000133001312 is a wasteful number, since it uses less digits than its factorization.

131000133001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848075 (or 5848067 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131000133001312 its reverse (213100331000131), we get a palindrome (344100464001443).

The spelling of 131000133001312 in words is "one hundred thirty-one trillion, one hundred thirty-three million, one thousand, three hundred twelve".