131313434010 has 256 divisors, whose sum is σ = 358904452608. Its totient is φ = 30468096000.

The previous prime is 131313434009. The next prime is 131313434017. The reversal of 131313434010 is 10434313131.

It is not an unprimeable number, because it can be changed into a prime (131313434017) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 287337702 + ... + 287338158.

It is an arithmetic number, because the mean of its divisors is an integer number (1401970518).

Almost surely, 2^131313434010 is an apocalyptic number.

131313434010 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 131313434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179452226304).

131313434010 is an abundant number, since it is smaller than the sum of its proper divisors (227591018598).

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

131313434010 is a wasteful number, since it uses less digits than its factorization.

131313434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131313434010 its reverse (10434313131), we get a palindrome (141747747141).

The spelling of 131313434010 in words is "one hundred thirty-one billion, three hundred thirteen million, four hundred thirty-four thousand, ten".