131412334411001 has 16 divisors (see below), whose sum is σ = 150853619776896. Its totient is φ = 112138115392896.

The previous prime is 131412334410983. The next prime is 131412334411019. The reversal of 131412334411001 is 100114433214131.

It is an interprime number because it is at equal distance from previous prime (131412334410983) and next prime (131412334411019).

It is a cyclic number.

It is not a de Polignac number, because 131412334411001 - 2¹⁰ = 131412334409977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131412334411601) 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, 35443775 + ... + 38975451.

It is an arithmetic number, because the mean of its divisors is an integer number (9428351236056).

Almost surely, 2^{131412334411001} is an apocalyptic number.

It is an amenable number.

131412334411001 is a deficient number, since it is larger than the sum of its proper divisors (19441285365895).

131412334411001 is a wasteful number, since it uses less digits than its factorization.

131412334411001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555328.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131412334411001 its reverse (100114433214131), we get a palindrome (231526767625132).

The spelling of 131412334411001 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, four hundred eleven thousand, one".