101311342032000 has 128 divisors (see below), whose sum is σ = 335847098995200. Its totient is φ = 27016357862400.

The previous prime is 101311342031957. The next prime is 101311342032001. The reversal of 101311342032000 is 230243113101.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (101311342032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055278480 + ... + 1055374479.

It is an arithmetic number, because the mean of its divisors is an integer number (2623805460900).

Almost surely, 2^{101311342032000} is an apocalyptic number.

101311342032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311342032000 is an abundant number, since it is smaller than the sum of its proper divisors (234535756963200).

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

101311342032000 is an equidigital number, since it uses as much as digits as its factorization.

101311342032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110652991 (or 2110652969 counting only the distinct ones).

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

Adding to 101311342032000 its reverse (230243113101), we get a palindrome (101541585145101).

The spelling of 101311342032000 in words is "one hundred one trillion, three hundred eleven billion, three hundred forty-two million, thirty-two thousand".