132413110314030 has 512 divisors, whose sum is σ = 446809406238720. Its totient is φ = 27153575516160.

The previous prime is 132413110313987. The next prime is 132413110314047. The reversal of 132413110314030 is 30413011314231.

132413110314030 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 311 + 0 + 314 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132413110313985 and 132413110314003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 855376297 + ... + 855531083.

It is an arithmetic number, because the mean of its divisors is an integer number (872674621560).

Almost surely, 2^{132413110314030} is an apocalyptic number.

132413110314030 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 132413110314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223404703119360).

132413110314030 is an abundant number, since it is smaller than the sum of its proper divisors (314396295924690).

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

132413110314030 is a wasteful number, since it uses less digits than its factorization.

132413110314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155801 (or 155795 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132413110314030 its reverse (30413011314231), we get a palindrome (162826121628261).

The spelling of 132413110314030 in words is "one hundred thirty-two trillion, four hundred thirteen billion, one hundred ten million, three hundred fourteen thousand, thirty".