10031133331331 has 32 divisors (see below), whose sum is σ = 12079003115520. Its totient is φ = 8144335102464.

The previous prime is 10031133331291. The next prime is 10031133331339. The reversal of 10031133331331 is 13313333113001.

It is a happy number.

10031133331331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10031133331331 - 2¹⁴ = 10031133314947 is a prime.

It is a super-2 number, since 2×10031133331331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10031133331331.

It is not an unprimeable number, because it can be changed into a prime (10031133331339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31835051 + ... + 32148603.

It is an arithmetic number, because the mean of its divisors is an integer number (377468847360).

Almost surely, 2^{10031133331331} is an apocalyptic number.

10031133331331 is a deficient number, since it is larger than the sum of its proper divisors (2047869784189).

10031133331331 is a wasteful number, since it uses less digits than its factorization.

10031133331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315515.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 10031133331331 its reverse (13313333113001), we get a palindrome (23344466444332).

The spelling of 10031133331331 in words is "ten trillion, thirty-one billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-one".