131034434322440 has 128 divisors (see below), whose sum is σ = 341160795561600. Its totient is φ = 44765494702080.

The previous prime is 131034434322437. The next prime is 131034434322469. The reversal of 131034434322440 is 44223434430131.

131034434322440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131034434322394 and 131034434322403.

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, 11558930 + ... + 19891649.

It is an arithmetic number, because the mean of its divisors is an integer number (2665318715325).

Almost surely, 2^{131034434322440} is an apocalyptic number.

131034434322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034434322440 is an abundant number, since it is smaller than the sum of its proper divisors (210126361239160).

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

131034434322440 is a wasteful number, since it uses less digits than its factorization.

131034434322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31451175 (or 31451171 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 131034434322440 its reverse (44223434430131), we get a palindrome (175257868752571).

The spelling of 131034434322440 in words is "one hundred thirty-one trillion, thirty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, four hundred forty".