2231311001024 has 112 divisors (see below), whose sum is σ = 5235812825280. Its totient is φ = 923120271360.

The previous prime is 2231311001011. The next prime is 2231311001039. The reversal of 2231311001024 is 4201001131322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2231311001024³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231311000987 and 2231311001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81537104 + ... + 81564464.

Almost surely, 2^{2231311001024} 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 2231311001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617906412640).

2231311001024 is an abundant number, since it is smaller than the sum of its proper divisors (3004501824256).

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

2231311001024 is a wasteful number, since it uses less digits than its factorization.

2231311001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33686 (or 33676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2231311001024 its reverse (4201001131322), we get a palindrome (6432312132346).

The spelling of 2231311001024 in words is "two trillion, two hundred thirty-one billion, three hundred eleven million, one thousand, twenty-four".