101331013101032 has 128 divisors (see below), whose sum is σ = 232946587964160. Its totient is φ = 40662716497920.

The previous prime is 101331013101029. The next prime is 101331013101113. The reversal of 101331013101032 is 230101310133101.

It is a super-4 number, since 4×101331013101032⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101331013100995 and 101331013101013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206909798 + ... + 207398954.

It is an arithmetic number, because the mean of its divisors is an integer number (1819895218470).

Almost surely, 2^{101331013101032} 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 101331013101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116473293982080).

101331013101032 is an abundant number, since it is smaller than the sum of its proper divisors (131615574863128).

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

101331013101032 is a wasteful number, since it uses less digits than its factorization.

101331013101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497083 (or 497079 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101331013101032 its reverse (230101310133101), we get a palindrome (331432323234133).

The spelling of 101331013101032 in words is "one hundred one trillion, three hundred thirty-one billion, thirteen million, one hundred one thousand, thirty-two".