131033012420013 has 16 divisors (see below), whose sum is σ = 190595293741056. Its totient is φ = 79413188117040.

The previous prime is 131033012419957. The next prime is 131033012420041. The reversal of 131033012420013 is 310024210330131.

It is not a de Polignac number, because 131033012420013 - 2⁴⁰ = 129933500792237 is a prime.

It is a super-2 number, since 2×131033012420013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033012420053) 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 in 15 ways as a sum of consecutive naturals, for example, 15454381 + ... + 22380882.

It is an arithmetic number, because the mean of its divisors is an integer number (11912205858816).

Almost surely, 2^{131033012420013} is an apocalyptic number.

It is an amenable number.

131033012420013 is a deficient number, since it is larger than the sum of its proper divisors (59562281321043).

131033012420013 is a wasteful number, since it uses less digits than its factorization.

131033012420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37940224.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131033012420013 its reverse (310024210330131), we get a palindrome (441057222750144).

The spelling of 131033012420013 in words is "one hundred thirty-one trillion, thirty-three billion, twelve million, four hundred twenty thousand, thirteen".