131433312313000 has 32 divisors (see below), whose sum is σ = 307553950814760. Its totient is φ = 52573324924800.

The previous prime is 131433312312971. The next prime is 131433312313001. The reversal of 131433312313000 is 313213334131.

It can be written as a sum of positive squares in 4 ways, for example, as 13414594808836 + 118018717504164 = 3662594^2 + 10863642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131433312313000.

It is not an unprimeable number, because it can be changed into a prime (131433312313001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65716655157 + ... + 65716657156.

Almost surely, 2^{131433312313000} is an apocalyptic number.

131433312313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131433312313000 is an abundant number, since it is smaller than the sum of its proper divisors (176120638501760).

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

131433312313000 is a wasteful number, since it uses less digits than its factorization.

131433312313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131433312334 (or 131433312320 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 131433312313000 its reverse (313213334131), we get a palindrome (131746525647131).

The spelling of 131433312313000 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, three hundred twelve million, three hundred thirteen thousand".