132653513241330 has 256 divisors, whose sum is σ = 331527342182400. Its totient is φ = 33933890027520.

The previous prime is 132653513241329. The next prime is 132653513241349. The reversal of 132653513241330 is 33142315356231.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82444693566 + ... + 82444695174.

It is an arithmetic number, because the mean of its divisors is an integer number (1295028680400).

Almost surely, 2^{132653513241330} is an apocalyptic number.

132653513241330 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 132653513241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165763671091200).

132653513241330 is an abundant number, since it is smaller than the sum of its proper divisors (198873828941070).

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

132653513241330 is a wasteful number, since it uses less digits than its factorization.

132653513241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349.

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 132653513241330 its reverse (33142315356231), we get a palindrome (165795828597561).

The spelling of 132653513241330 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirteen million, two hundred forty-one thousand, three hundred thirty".