131413313001300 has 144 divisors (see below), whose sum is σ = 414924812404032. Its totient is φ = 31847280537600.

The previous prime is 131413313001283. The next prime is 131413313001307. The reversal of 131413313001300 is 3100313314131.

It is a super-2 number, since 2×131413313001300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413313001307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3465924 + ... + 16578276.

Almost surely, 2^{131413313001300} is an apocalyptic number.

131413313001300 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 131413313001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207462406202016).

131413313001300 is an abundant number, since it is smaller than the sum of its proper divisors (283511499402732).

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

131413313001300 is a wasteful number, since it uses less digits than its factorization.

131413313001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115418 (or 13115411 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131413313001300 its reverse (3100313314131), we get a palindrome (134513626315431).

The spelling of 131413313001300 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirteen million, one thousand, three hundred".