101300132132004 has 96 divisors (see below), whose sum is σ = 255651741281664. Its totient is φ = 31034258703360.

The previous prime is 101300132131837. The next prime is 101300132132051. The reversal of 101300132132004 is 400231231003101.

It is a super-2 number, since 2×101300132132004² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384204294 + ... + 1384277474.

It is an arithmetic number, because the mean of its divisors is an integer number (2663038971684).

Almost surely, 2^{101300132132004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300132132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127825870640832).

101300132132004 is an abundant number, since it is smaller than the sum of its proper divisors (154351609149660).

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

101300132132004 is a wasteful number, since it uses less digits than its factorization.

101300132132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111517 (or 111515 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101300132132004 its reverse (400231231003101), we get a palindrome (501531363135105).

The spelling of 101300132132004 in words is "one hundred one trillion, three hundred billion, one hundred thirty-two million, one hundred thirty-two thousand, four".