131413113343110 has 128 divisors (see below), whose sum is σ = 343267454582784. Its totient is φ = 32062820198400.

The previous prime is 131413113343091. The next prime is 131413113343121. The reversal of 131413113343110 is 11343311314131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18694119 + ... + 24744621.

It is an arithmetic number, because the mean of its divisors is an integer number (2681776988928).

Almost surely, 2^{131413113343110} is an apocalyptic number.

131413113343110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413113343110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171633727291392).

131413113343110 is an abundant number, since it is smaller than the sum of its proper divisors (211854341239674).

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

131413113343110 is a wasteful number, since it uses less digits than its factorization.

131413113343110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051718.

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 131413113343110 its reverse (11343311314131), we get a palindrome (142756424657241).

The spelling of 131413113343110 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirteen million, three hundred forty-three thousand, one hundred ten".