10031122332032 has 64 divisors (see below), whose sum is σ = 20168779831200. Its totient is φ = 4969161216000.

The previous prime is 10031122332019. The next prime is 10031122332071. The reversal of 10031122332032 is 23023322113001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10031122332032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031122331989 and 10031122332007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 281826557 + ... + 281862147.

Almost surely, 2^{10031122332032} 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 10031122332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084389915600).

10031122332032 is an abundant number, since it is smaller than the sum of its proper divisors (10137657499168).

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

10031122332032 is a wasteful number, since it uses less digits than its factorization.

10031122332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55915 (or 55903 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10031122332032 its reverse (23023322113001), we get a palindrome (33054444445033).

The spelling of 10031122332032 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, three hundred thirty-two thousand, thirty-two".