131413352235000 has 640 divisors, whose sum is σ = 457745826447360. Its totient is φ = 31161412800000.

The previous prime is 131413352234999. The next prime is 131413352235013. The reversal of 131413352235000 is 532253314131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1487760837 + ... + 1487849163.

It is an arithmetic number, because the mean of its divisors is an integer number (715227853824).

Almost surely, 2^{131413352235000} is an apocalyptic number.

131413352235000 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 131413352235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228872913223680).

131413352235000 is an abundant number, since it is smaller than the sum of its proper divisors (326332474212360).

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

131413352235000 is a wasteful number, since it uses less digits than its factorization.

131413352235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88565 (or 88546 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 131413352235000 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fifty-two million, two hundred thirty-five thousand".