131413434402200 has 192 divisors, whose sum is σ = 312850024531200. Its totient is φ = 51319662451200.

The previous prime is 131413434402181. The next prime is 131413434402209. The reversal of 131413434402200 is 2204434314131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413434402209) 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, 3947873957 + ... + 3947907243.

It is an arithmetic number, because the mean of its divisors is an integer number (1629427211100).

Almost surely, 2^{131413434402200} is an apocalyptic number.

131413434402200 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 131413434402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156425012265600).

131413434402200 is an abundant number, since it is smaller than the sum of its proper divisors (181436590129000).

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

131413434402200 is a wasteful number, since it uses less digits than its factorization.

131413434402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35650 (or 35641 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131413434402200 its reverse (2204434314131), we get a palindrome (133617868716331).

The spelling of 131413434402200 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred thirty-four million, four hundred two thousand, two hundred".