131412334102413 has 128 divisors (see below), whose sum is σ = 221402885760000. Its totient is φ = 68892094365696.

The previous prime is 131412334102381. The next prime is 131412334102451. The reversal of 131412334102413 is 314201433214131.

It is a happy number.

It is not a de Polignac number, because 131412334102413 - 2⁵ = 131412334102381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412334102453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1543569595 + ... + 1543654727.

It is an arithmetic number, because the mean of its divisors is an integer number (1729710045000).

Almost surely, 2^{131412334102413} is an apocalyptic number.

131412334102413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131412334102413 is a deficient number, since it is larger than the sum of its proper divisors (89990551657587).

131412334102413 is a wasteful number, since it uses less digits than its factorization.

131412334102413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85876 (or 85862 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131412334102413 its reverse (314201433214131), we get a palindrome (445613767316544).

The spelling of 131412334102413 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred two thousand, four hundred thirteen".