131412312124401 has 16 divisors (see below), whose sum is σ = 218451635739648. Its totient is φ = 68266136168400.

The previous prime is 131412312124397. The next prime is 131412312124433. The reversal of 131412312124401 is 104421213214131.

It is not a de Polignac number, because 131412312124401 - 2² = 131412312124397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131412312122401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284442233805 + ... + 284442234266.

It is an arithmetic number, because the mean of its divisors is an integer number (13653227233728).

Almost surely, 2^{131412312124401} is an apocalyptic number.

131412312124401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131412312124401 is a deficient number, since it is larger than the sum of its proper divisors (87039323615247).

131412312124401 is a wasteful number, since it uses less digits than its factorization.

131412312124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568884468092.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131412312124401 its reverse (104421213214131), we get a palindrome (235833525338532).

The spelling of 131412312124401 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred twelve million, one hundred twenty-four thousand, four hundred one".