131045331141120 has 320 divisors, whose sum is σ = 458509349523456. Its totient is φ = 31665078190080.

The previous prime is 131045331141091. The next prime is 131045331141163. The reversal of 131045331141120 is 21141133540131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23408977 + ... + 28461743.

Almost surely, 2^{131045331141120} is an apocalyptic number.

131045331141120 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 131045331141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229254674761728).

131045331141120 is an abundant number, since it is smaller than the sum of its proper divisors (327464018382336).

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

131045331141120 is a wasteful number, since it uses less digits than its factorization.

131045331141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053111 (or 5053095 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 131045331141120 its reverse (21141133540131), we get a palindrome (152186464681251).

The spelling of 131045331141120 in words is "one hundred thirty-one trillion, forty-five billion, three hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".