131413101041000 has 32 divisors (see below), whose sum is σ = 307506656438280. Its totient is φ = 52565240416000.

The previous prime is 131413101040993. The next prime is 131413101041029. The reversal of 131413101041000 is 140101314131.

It can be written as a sum of positive squares in 4 ways, for example, as 31761317375524 + 99651783665476 = 5635718^2 + 9982574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65706549521 + ... + 65706551520.

Almost surely, 2^{131413101041000} is an apocalyptic number.

131413101041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413101041000 is an abundant number, since it is smaller than the sum of its proper divisors (176093555397280).

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

131413101041000 is a wasteful number, since it uses less digits than its factorization.

131413101041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131413101062 (or 131413101048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131413101041000 its reverse (140101314131), we get a palindrome (131553202355131).

The spelling of 131413101041000 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, forty-one thousand".