131142131211320 has 128 divisors (see below), whose sum is σ = 303599949906240. Its totient is φ = 50962065960960.

The previous prime is 131142131211281. The next prime is 131142131211337. The reversal of 131142131211320 is 23112131241131.

131142131211320 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-2 number, since 2×131142131211320² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131142131211320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4322259350 + ... + 4322289690.

Almost surely, 2^{131142131211320} is an apocalyptic number.

131142131211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131142131211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151799974953120).

131142131211320 is an abundant number, since it is smaller than the sum of its proper divisors (172457818694920).

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

131142131211320 is a wasteful number, since it uses less digits than its factorization.

131142131211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52585 (or 52581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 131142131211320 its reverse (23112131241131), we get a palindrome (154254262452451).

The spelling of 131142131211320 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred eleven thousand, three hundred twenty".