131010411412404 has 144 divisors (see below), whose sum is σ = 340596500619648. Its totient is φ = 42446874818304.

The previous prime is 131010411412367. The next prime is 131010411412421. The reversal of 131010411412404 is 404214114010131.

131010411412404 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 0 + 411 + 4 + 1 + 240 + 4 = 666.

131010411412404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131010411412404³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67864894 + ... + 69768650.

Almost surely, 2^{131010411412404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010411412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170298250309824).

131010411412404 is an abundant number, since it is smaller than the sum of its proper divisors (209586089207244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131010411412404 is a wasteful number, since it uses less digits than its factorization.

131010411412404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904214 (or 1904209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131010411412404 its reverse (404214114010131), we get a palindrome (535224525422535).

The spelling of 131010411412404 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred twelve thousand, four hundred four".