131012224040113 has 8 divisors (see below), whose sum is σ = 141090200522600. Its totient is φ = 120934263714048.

The previous prime is 131012224040107. The next prime is 131012224040129. The reversal of 131012224040113 is 311040422210131.

It can be written as a sum of positive squares in 4 ways, for example, as 170265167424 + 130841958872689 = 412632^2 + 11438617^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131012224040113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131012224040153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16775323 + ... + 23311711.

It is an arithmetic number, because the mean of its divisors is an integer number (17636275065325).

Almost surely, 2^{131012224040113} is an apocalyptic number.

131012224040113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131012224040113 is a deficient number, since it is larger than the sum of its proper divisors (10077976482487).

131012224040113 is a wasteful number, since it uses less digits than its factorization.

131012224040113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078211.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131012224040113 its reverse (311040422210131), we get a palindrome (442052646250244).

The spelling of 131012224040113 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, forty thousand, one hundred thirteen".