131122150235040 has 96 divisors (see below), whose sum is σ = 413109593176896. Its totient is φ = 34959572766720.

The previous prime is 131122150234993. The next prime is 131122150235071. The reversal of 131122150235040 is 40532051221131.

It is a happy number.

131122150235040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 131122150234989 and 131122150235007.

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 15 ways as a sum of consecutive naturals, for example, 22089202 + ... + 27389361.

It is an arithmetic number, because the mean of its divisors is an integer number (4303224928926).

Almost surely, 2^{131122150235040} is an apocalyptic number.

131122150235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122150235040 is an abundant number, since it is smaller than the sum of its proper divisors (281987442941856).

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

131122150235040 is a wasteful number, since it uses less digits than its factorization.

131122150235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49484102 (or 49484094 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 131122150235040 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred fifty million, two hundred thirty-five thousand, forty".