131142411431310 has 128 divisors (see below), whose sum is σ = 320484080277504. Its totient is φ = 34337904030720.

The previous prime is 131142411431293. The next prime is 131142411431363. The reversal of 131142411431310 is 13134114241131.

It is a happy number.

It is a super-2 number, since 2×131142411431310² (a number of 29 digits) contains 22 as substring.

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, 458786952 + ... + 459072708.

It is an arithmetic number, because the mean of its divisors is an integer number (2503781877168).

Almost surely, 2^{131142411431310} is an apocalyptic number.

131142411431310 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 131142411431310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160242040138752).

131142411431310 is an abundant number, since it is smaller than the sum of its proper divisors (189341668846194).

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

131142411431310 is a wasteful number, since it uses less digits than its factorization.

131142411431310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286778.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 131142411431310 its reverse (13134114241131), we get a palindrome (144276525672441).

The spelling of 131142411431310 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred eleven million, four hundred thirty-one thousand, three hundred ten".