131010413034112 has 16 divisors (see below), whose sum is σ = 260997307216650. Its totient is φ = 65505206516992.

The previous prime is 131010413034023. The next prime is 131010413034119. The reversal of 131010413034112 is 211430314010131.

It can be written as a sum of positive squares in only one way, i.e., 117727187246656 + 13283225787456 = 10850216^2 + 3644616^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×131010413034112³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131010413034119) 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 as a sum of consecutive naturals, namely, 511759425787 + ... + 511759426042.

Almost surely, 2^{131010413034112} is an apocalyptic number.

It is an amenable number.

131010413034112 is a deficient number, since it is larger than the sum of its proper divisors (129986894182538).

131010413034112 is an equidigital number, since it uses as much as digits as its factorization.

131010413034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023518851843 (or 1023518851831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131010413034112 its reverse (211430314010131), we get a palindrome (342440727044243).

The spelling of 131010413034112 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, thirty-four thousand, one hundred twelve".